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Finding the Fourth Proportional to 541,147.84, 746,720 and 299,398.48

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Solution

The fourth proportional to 541,147.84, 746,720 and 299,398.48 is: 413,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,147.84 : 746,720 = 299,398.48 : x
  2. Step 2: Convert to fraction form
    541,147.84/746,720 = 299,398.48/x
  3. Step 3: Cross multiply
    541,147.84x = 746,720 × 299,398.48
  4. Step 4: Simplify right side
    541,147.84x = 223,566,832,985.60
  5. Step 5: Solve for x
    x = 223,566,832,985.60/541,147.84
  6. Step 6: Final answer
    x = 413,134.48

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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.