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Finding the Fourth Proportional to 409,726.30, 614,582.13 and 156,938.26

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Solution

The fourth proportional to 409,726.30, 614,582.13 and 156,938.26 is: 235,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,726.30 : 614,582.13 = 156,938.26 : x
  2. Step 2: Convert to fraction form
    409,726.30/614,582.13 = 156,938.26/x
  3. Step 3: Cross multiply
    409,726.30x = 614,582.13 × 156,938.26
  4. Step 4: Simplify right side
    409,726.30x = 96,451,450,109.29
  5. Step 5: Solve for x
    x = 96,451,450,109.29/409,726.30
  6. Step 6: Final answer
    x = 235,404.59

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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.