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Finding the Fourth Proportional to 713,753.67, 1,070,910.72 and 314,114.13

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Solution

The fourth proportional to 713,753.67, 1,070,910.72 and 314,114.13 is: 471,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,753.67 : 1,070,910.72 = 314,114.13 : x
  2. Step 2: Convert to fraction form
    713,753.67/1,070,910.72 = 314,114.13/x
  3. Step 3: Cross multiply
    713,753.67x = 1,070,910.72 × 314,114.13
  4. Step 4: Simplify right side
    713,753.67x = 336,388,189,120.47
  5. Step 5: Solve for x
    x = 336,388,189,120.47/713,753.67
  6. Step 6: Final answer
    x = 471,294.51

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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.