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Finding the Fourth Proportional to 497,424.20, 744,548.70 and 392,448.20

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Solution

The fourth proportional to 497,424.20, 744,548.70 and 392,448.20 is: 587,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,424.20 : 744,548.70 = 392,448.20 : x
  2. Step 2: Convert to fraction form
    497,424.20/744,548.70 = 392,448.20/x
  3. Step 3: Cross multiply
    497,424.20x = 744,548.70 × 392,448.20
  4. Step 4: Simplify right side
    497,424.20x = 292,196,797,127.34
  5. Step 5: Solve for x
    x = 292,196,797,127.34/497,424.20
  6. Step 6: Final answer
    x = 587,419.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.