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Finding the Fourth Proportional to 365,862.42, 548,777.16 and 152,542.44

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Solution

The fourth proportional to 365,862.42, 548,777.16 and 152,542.44 is: 228,806.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,862.42 : 548,777.16 = 152,542.44 : x
  2. Step 2: Convert to fraction form
    365,862.42/548,777.16 = 152,542.44/x
  3. Step 3: Cross multiply
    365,862.42x = 548,777.16 × 152,542.44
  4. Step 4: Simplify right side
    365,862.42x = 83,711,807,002.67
  5. Step 5: Solve for x
    x = 83,711,807,002.67/365,862.42
  6. Step 6: Final answer
    x = 228,806.79

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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.