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Finding the Fourth Proportional to 409,854.20, 614,781.30 and 232,707.20

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Solution

The fourth proportional to 409,854.20, 614,781.30 and 232,707.20 is: 349,060.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,854.20 : 614,781.30 = 232,707.20 : x
  2. Step 2: Convert to fraction form
    409,854.20/614,781.30 = 232,707.20/x
  3. Step 3: Cross multiply
    409,854.20x = 614,781.30 × 232,707.20
  4. Step 4: Simplify right side
    409,854.20x = 143,064,034,935.36
  5. Step 5: Solve for x
    x = 143,064,034,935.36/409,854.20
  6. Step 6: Final answer
    x = 349,060.80

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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.