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Finding the Fourth Proportional to 523,411.40, 785,117.10 and 129,427.40

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Solution

The fourth proportional to 523,411.40, 785,117.10 and 129,427.40 is: 194,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,411.40 : 785,117.10 = 129,427.40 : x
  2. Step 2: Convert to fraction form
    523,411.40/785,117.10 = 129,427.40/x
  3. Step 3: Cross multiply
    523,411.40x = 785,117.10 × 129,427.40
  4. Step 4: Simplify right side
    523,411.40x = 101,615,664,948.54
  5. Step 5: Solve for x
    x = 101,615,664,948.54/523,411.40
  6. Step 6: Final answer
    x = 194,141.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.