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Finding the Fourth Proportional to 541,534.71, 747,368.03 and 299,817.27

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Solution

The fourth proportional to 541,534.71, 747,368.03 and 299,817.27 is: 413,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,534.71 : 747,368.03 = 299,817.27 : x
  2. Step 2: Convert to fraction form
    541,534.71/747,368.03 = 299,817.27/x
  3. Step 3: Cross multiply
    541,534.71x = 747,368.03 × 299,817.27
  4. Step 4: Simplify right side
    541,534.71x = 224,073,844,026.54
  5. Step 5: Solve for x
    x = 224,073,844,026.54/541,534.71
  6. Step 6: Final answer
    x = 413,775.59

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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.