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Finding the Fourth Proportional to 409,359.96, 613,743.48 and 172,572.66

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Solution

The fourth proportional to 409,359.96, 613,743.48 and 172,572.66 is: 258,734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,359.96 : 613,743.48 = 172,572.66 : x
  2. Step 2: Convert to fraction form
    409,359.96/613,743.48 = 172,572.66/x
  3. Step 3: Cross multiply
    409,359.96x = 613,743.48 × 172,572.66
  4. Step 4: Simplify right side
    409,359.96x = 105,915,344,901.26
  5. Step 5: Solve for x
    x = 105,915,344,901.26/409,359.96
  6. Step 6: Final answer
    x = 258,734.01

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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.