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Finding the Fourth Proportional to 404,419.31, 558,116.45 and 232,391.24

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Solution

The fourth proportional to 404,419.31, 558,116.45 and 232,391.24 is: 320,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,419.31 : 558,116.45 = 232,391.24 : x
  2. Step 2: Convert to fraction form
    404,419.31/558,116.45 = 232,391.24/x
  3. Step 3: Cross multiply
    404,419.31x = 558,116.45 × 232,391.24
  4. Step 4: Simplify right side
    404,419.31x = 129,701,371,670.29
  5. Step 5: Solve for x
    x = 129,701,371,670.29/404,419.31
  6. Step 6: Final answer
    x = 320,710.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.