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Finding the Fourth Proportional to 542,043.61, 813,810.22 and 275,982.91

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Solution

The fourth proportional to 542,043.61, 813,810.22 and 275,982.91 is: 414,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,043.61 : 813,810.22 = 275,982.91 : x
  2. Step 2: Convert to fraction form
    542,043.61/813,810.22 = 275,982.91/x
  3. Step 3: Cross multiply
    542,043.61x = 813,810.22 × 275,982.91
  4. Step 4: Simplify right side
    542,043.61x = 224,597,712,703.34
  5. Step 5: Solve for x
    x = 224,597,712,703.34/542,043.61
  6. Step 6: Final answer
    x = 414,353.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.