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Finding the Fourth Proportional to 527,201.87, 790,470.50 and 447,267.83

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Solution

The fourth proportional to 527,201.87, 790,470.50 and 447,267.83 is: 670,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,201.87 : 790,470.50 = 447,267.83 : x
  2. Step 2: Convert to fraction form
    527,201.87/790,470.50 = 447,267.83/x
  3. Step 3: Cross multiply
    527,201.87x = 790,470.50 × 447,267.83
  4. Step 4: Simplify right side
    527,201.87x = 353,552,019,025.32
  5. Step 5: Solve for x
    x = 353,552,019,025.32/527,201.87
  6. Step 6: Final answer
    x = 670,619.82

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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.