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Finding the Fourth Proportional to 469,479.52, 704,206.95 and 132,543.46

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Solution

The fourth proportional to 469,479.52, 704,206.95 and 132,543.46 is: 198,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,479.52 : 704,206.95 = 132,543.46 : x
  2. Step 2: Convert to fraction form
    469,479.52/704,206.95 = 132,543.46/x
  3. Step 3: Cross multiply
    469,479.52x = 704,206.95 × 132,543.46
  4. Step 4: Simplify right side
    469,479.52x = 93,338,025,709.05
  5. Step 5: Solve for x
    x = 93,338,025,709.05/469,479.52
  6. Step 6: Final answer
    x = 198,811.71

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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.