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Finding the Fourth Proportional to 541,365.76, 747,006.54 and 299,647.76

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Solution

The fourth proportional to 541,365.76, 747,006.54 and 299,647.76 is: 413,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,365.76 : 747,006.54 = 299,647.76 : x
  2. Step 2: Convert to fraction form
    541,365.76/747,006.54 = 299,647.76/x
  3. Step 3: Cross multiply
    541,365.76x = 747,006.54 × 299,647.76
  4. Step 4: Simplify right side
    541,365.76x = 223,838,831,557.64
  5. Step 5: Solve for x
    x = 223,838,831,557.64/541,365.76
  6. Step 6: Final answer
    x = 413,470.61

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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.