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Finding the Fourth Proportional to 393,041.46, 542,243.24 and 241,876.02

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Solution

The fourth proportional to 393,041.46, 542,243.24 and 241,876.02 is: 333,694.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,041.46 : 542,243.24 = 241,876.02 : x
  2. Step 2: Convert to fraction form
    393,041.46/542,243.24 = 241,876.02/x
  3. Step 3: Cross multiply
    393,041.46x = 542,243.24 × 241,876.02
  4. Step 4: Simplify right side
    393,041.46x = 131,155,636,763.11
  5. Step 5: Solve for x
    x = 131,155,636,763.11/393,041.46
  6. Step 6: Final answer
    x = 333,694.15

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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.