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Finding the Fourth Proportional to 488,963.86, 733,442.20 and 152,003.88

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Solution

The fourth proportional to 488,963.86, 733,442.20 and 152,003.88 is: 228,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,963.86 : 733,442.20 = 152,003.88 : x
  2. Step 2: Convert to fraction form
    488,963.86/733,442.20 = 152,003.88/x
  3. Step 3: Cross multiply
    488,963.86x = 733,442.20 × 152,003.88
  4. Step 4: Simplify right side
    488,963.86x = 111,486,059,775.73
  5. Step 5: Solve for x
    x = 111,486,059,775.73/488,963.86
  6. Step 6: Final answer
    x = 228,004.70

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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.