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Finding the Fourth Proportional to 393,287.38, 542,778.21 and 240,415.04

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Solution

The fourth proportional to 393,287.38, 542,778.21 and 240,415.04 is: 331,798.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,287.38 : 542,778.21 = 240,415.04 : x
  2. Step 2: Convert to fraction form
    393,287.38/542,778.21 = 240,415.04/x
  3. Step 3: Cross multiply
    393,287.38x = 542,778.21 × 240,415.04
  4. Step 4: Simplify right side
    393,287.38x = 130,492,046,425.22
  5. Step 5: Solve for x
    x = 130,492,046,425.22/393,287.38
  6. Step 6: Final answer
    x = 331,798.21

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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.