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Finding the Fourth Proportional to 509,003.76, 762,342.48 and 242,951.04

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Solution

The fourth proportional to 509,003.76, 762,342.48 and 242,951.04 is: 363,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,003.76 : 762,342.48 = 242,951.04 : x
  2. Step 2: Convert to fraction form
    509,003.76/762,342.48 = 242,951.04/x
  3. Step 3: Cross multiply
    509,003.76x = 762,342.48 × 242,951.04
  4. Step 4: Simplify right side
    509,003.76x = 185,211,898,352.18
  5. Step 5: Solve for x
    x = 185,211,898,352.18/509,003.76
  6. Step 6: Final answer
    x = 363,871.38

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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.