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Finding the Fourth Proportional to 417,542.76, 576,358.44 and 247,776.88

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Solution

The fourth proportional to 417,542.76, 576,358.44 and 247,776.88 is: 342,020.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,542.76 : 576,358.44 = 247,776.88 : x
  2. Step 2: Convert to fraction form
    417,542.76/576,358.44 = 247,776.88/x
  3. Step 3: Cross multiply
    417,542.76x = 576,358.44 × 247,776.88
  4. Step 4: Simplify right side
    417,542.76x = 142,808,296,024.87
  5. Step 5: Solve for x
    x = 142,808,296,024.87/417,542.76
  6. Step 6: Final answer
    x = 342,020.77

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1.5x scale

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.