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Finding the Fourth Proportional to 542,024.73, 747,984.41 and 300,302.44

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Solution

The fourth proportional to 542,024.73, 747,984.41 and 300,302.44 is: 414,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,024.73 : 747,984.41 = 300,302.44 : x
  2. Step 2: Convert to fraction form
    542,024.73/747,984.41 = 300,302.44/x
  3. Step 3: Cross multiply
    542,024.73x = 747,984.41 × 300,302.44
  4. Step 4: Simplify right side
    542,024.73x = 224,621,541,159.62
  5. Step 5: Solve for x
    x = 224,621,541,159.62/542,024.73
  6. Step 6: Final answer
    x = 414,411.98

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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.