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Finding the Fourth Proportional to 469,478.52, 704,205.45 and 132,542.46

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Solution

The fourth proportional to 469,478.52, 704,205.45 and 132,542.46 is: 198,810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,478.52 : 704,205.45 = 132,542.46 : x
  2. Step 2: Convert to fraction form
    469,478.52/704,205.45 = 132,542.46/x
  3. Step 3: Cross multiply
    469,478.52x = 704,205.45 × 132,542.46
  4. Step 4: Simplify right side
    469,478.52x = 93,337,122,688.41
  5. Step 5: Solve for x
    x = 93,337,122,688.41/469,478.52
  6. Step 6: Final answer
    x = 198,810.21

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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.