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Finding the Fourth Proportional to 516,835.69, 713,233.25 and 290,481.19

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Solution

The fourth proportional to 516,835.69, 713,233.25 and 290,481.19 is: 400,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,835.69 : 713,233.25 = 290,481.19 : x
  2. Step 2: Convert to fraction form
    516,835.69/713,233.25 = 290,481.19/x
  3. Step 3: Cross multiply
    516,835.69x = 713,233.25 × 290,481.19
  4. Step 4: Simplify right side
    516,835.69x = 207,180,841,061.38
  5. Step 5: Solve for x
    x = 207,180,841,061.38/516,835.69
  6. Step 6: Final answer
    x = 400,864.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.