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Finding the Fourth Proportional to 304,793.76, 420,619.82 and 175,729.98

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Solution

The fourth proportional to 304,793.76, 420,619.82 and 175,729.98 is: 242,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,793.76 : 420,619.82 = 175,729.98 : x
  2. Step 2: Convert to fraction form
    304,793.76/420,619.82 = 175,729.98/x
  3. Step 3: Cross multiply
    304,793.76x = 420,619.82 × 175,729.98
  4. Step 4: Simplify right side
    304,793.76x = 73,915,511,677.55
  5. Step 5: Solve for x
    x = 73,915,511,677.55/304,793.76
  6. Step 6: Final answer
    x = 242,509.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.