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Finding the Fourth Proportional to 541,337.07, 747,046.64 and 299,636.31

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Solution

The fourth proportional to 541,337.07, 747,046.64 and 299,636.31 is: 413,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,337.07 : 747,046.64 = 299,636.31 : x
  2. Step 2: Convert to fraction form
    541,337.07/747,046.64 = 299,636.31/x
  3. Step 3: Cross multiply
    541,337.07x = 747,046.64 × 299,636.31
  4. Step 4: Simplify right side
    541,337.07x = 223,842,298,607.50
  5. Step 5: Solve for x
    x = 223,842,298,607.50/541,337.07
  6. Step 6: Final answer
    x = 413,498.93

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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.