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Finding the Fourth Proportional to 590,948.20, 829,427 and 590,948.20

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Solution

The fourth proportional to 590,948.20, 829,427 and 590,948.20 is: 829,427

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,948.20 : 829,427 = 590,948.20 : x
  2. Step 2: Convert to fraction form
    590,948.20/829,427 = 590,948.20/x
  3. Step 3: Cross multiply
    590,948.20x = 829,427 × 590,948.20
  4. Step 4: Simplify right side
    590,948.20x = 490,148,392,681.40
  5. Step 5: Solve for x
    x = 490,148,392,681.40/590,948.20
  6. Step 6: Final answer
    x = 829,427

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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 (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.