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Finding the Fourth Proportional to 409,333.97, 614,111.73 and 231,965.53

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Solution

The fourth proportional to 409,333.97, 614,111.73 and 231,965.53 is: 348,011.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,333.97 : 614,111.73 = 231,965.53 : x
  2. Step 2: Convert to fraction form
    409,333.97/614,111.73 = 231,965.53/x
  3. Step 3: Cross multiply
    409,333.97x = 614,111.73 × 231,965.53
  4. Step 4: Simplify right side
    409,333.97x = 142,452,754,841.49
  5. Step 5: Solve for x
    x = 142,452,754,841.49/409,333.97
  6. Step 6: Final answer
    x = 348,011.08

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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.