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Finding the Fourth Proportional to 541,248.90, 746,905.05 and 299,541.66

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Solution

The fourth proportional to 541,248.90, 746,905.05 and 299,541.66 is: 413,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,248.90 : 746,905.05 = 299,541.66 : x
  2. Step 2: Convert to fraction form
    541,248.90/746,905.05 = 299,541.66/x
  3. Step 3: Cross multiply
    541,248.90x = 746,905.05 × 299,541.66
  4. Step 4: Simplify right side
    541,248.90x = 223,729,178,539.38
  5. Step 5: Solve for x
    x = 223,729,178,539.38/541,248.90
  6. Step 6: Final answer
    x = 413,357.29

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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.