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Finding the Fourth Proportional to 541,607.25, 747,357.63 and 299,829.27

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Solution

The fourth proportional to 541,607.25, 747,357.63 and 299,829.27 is: 413,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,607.25 : 747,357.63 = 299,829.27 : x
  2. Step 2: Convert to fraction form
    541,607.25/747,357.63 = 299,829.27/x
  3. Step 3: Cross multiply
    541,607.25x = 747,357.63 × 299,829.27
  4. Step 4: Simplify right side
    541,607.25x = 224,079,692,631.83
  5. Step 5: Solve for x
    x = 224,079,692,631.83/541,607.25
  6. Step 6: Final answer
    x = 413,730.97

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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.