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Finding the Fourth Proportional to 393,342.10, 542,672.13 and 232,116.46

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Solution

The fourth proportional to 393,342.10, 542,672.13 and 232,116.46 is: 320,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,342.10 : 542,672.13 = 232,116.46 : x
  2. Step 2: Convert to fraction form
    393,342.10/542,672.13 = 232,116.46/x
  3. Step 3: Cross multiply
    393,342.10x = 542,672.13 × 232,116.46
  4. Step 4: Simplify right side
    393,342.10x = 125,963,133,756.26
  5. Step 5: Solve for x
    x = 125,963,133,756.26/393,342.10
  6. Step 6: Final answer
    x = 320,238.12

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