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Finding the Fourth Proportional to 409,859.80, 614,127.30 and 231,837.40

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Solution

The fourth proportional to 409,859.80, 614,127.30 and 231,837.40 is: 347,381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,859.80 : 614,127.30 = 231,837.40 : x
  2. Step 2: Convert to fraction form
    409,859.80/614,127.30 = 231,837.40/x
  3. Step 3: Cross multiply
    409,859.80x = 614,127.30 × 231,837.40
  4. Step 4: Simplify right side
    409,859.80x = 142,377,676,501.02
  5. Step 5: Solve for x
    x = 142,377,676,501.02/409,859.80
  6. Step 6: Final answer
    x = 347,381.41

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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.