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Finding the Fourth Proportional to 542,467.30, 813,700.87 and 182,607.93

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Solution

The fourth proportional to 542,467.30, 813,700.87 and 182,607.93 is: 273,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,467.30 : 813,700.87 = 182,607.93 : x
  2. Step 2: Convert to fraction form
    542,467.30/813,700.87 = 182,607.93/x
  3. Step 3: Cross multiply
    542,467.30x = 813,700.87 × 182,607.93
  4. Step 4: Simplify right side
    542,467.30x = 148,588,231,509.90
  5. Step 5: Solve for x
    x = 148,588,231,509.90/542,467.30
  6. Step 6: Final answer
    x = 273,911.87

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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.