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Finding the Fourth Proportional to 523,415.40, 785,123.10 and 470,927.40

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Solution

The fourth proportional to 523,415.40, 785,123.10 and 470,927.40 is: 706,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,415.40 : 785,123.10 = 470,927.40 : x
  2. Step 2: Convert to fraction form
    523,415.40/785,123.10 = 470,927.40/x
  3. Step 3: Cross multiply
    523,415.40x = 785,123.10 × 470,927.40
  4. Step 4: Simplify right side
    523,415.40x = 369,735,980,162.94
  5. Step 5: Solve for x
    x = 369,735,980,162.94/523,415.40
  6. Step 6: Final answer
    x = 706,391.10

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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.