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Finding the Fourth Proportional to 521,998.16, 783,001.87 and 206,455.10

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Solution

The fourth proportional to 521,998.16, 783,001.87 and 206,455.10 is: 309,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,998.16 : 783,001.87 = 206,455.10 : x
  2. Step 2: Convert to fraction form
    521,998.16/783,001.87 = 206,455.10/x
  3. Step 3: Cross multiply
    521,998.16x = 783,001.87 × 206,455.10
  4. Step 4: Simplify right side
    521,998.16x = 161,654,730,812.40
  5. Step 5: Solve for x
    x = 161,654,730,812.40/521,998.16
  6. Step 6: Final answer
    x = 309,684.48

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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.