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Finding the Fourth Proportional to 564,542.48, 846,635.34 and 185,400.74

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Solution

The fourth proportional to 564,542.48, 846,635.34 and 185,400.74 is: 278,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,542.48 : 846,635.34 = 185,400.74 : x
  2. Step 2: Convert to fraction form
    564,542.48/846,635.34 = 185,400.74/x
  3. Step 3: Cross multiply
    564,542.48x = 846,635.34 × 185,400.74
  4. Step 4: Simplify right side
    564,542.48x = 156,966,821,357.99
  5. Step 5: Solve for x
    x = 156,966,821,357.99/564,542.48
  6. Step 6: Final answer
    x = 278,042.53

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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.