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Finding the Fourth Proportional to 541,713.97, 747,809.81 and 348,402.61

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Solution

The fourth proportional to 541,713.97, 747,809.81 and 348,402.61 is: 480,952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,713.97 : 747,809.81 = 348,402.61 : x
  2. Step 2: Convert to fraction form
    541,713.97/747,809.81 = 348,402.61/x
  3. Step 3: Cross multiply
    541,713.97x = 747,809.81 × 348,402.61
  4. Step 4: Simplify right side
    541,713.97x = 260,538,889,587.60
  5. Step 5: Solve for x
    x = 260,538,889,587.60/541,713.97
  6. Step 6: Final answer
    x = 480,952.87

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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.