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Finding the Fourth Proportional to 417,290.54, 625,928.92 and 132,977.16

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Solution

The fourth proportional to 417,290.54, 625,928.92 and 132,977.16 is: 199,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,290.54 : 625,928.92 = 132,977.16 : x
  2. Step 2: Convert to fraction form
    417,290.54/625,928.92 = 132,977.16/x
  3. Step 3: Cross multiply
    417,290.54x = 625,928.92 × 132,977.16
  4. Step 4: Simplify right side
    417,290.54x = 83,234,249,811.02
  5. Step 5: Solve for x
    x = 83,234,249,811.02/417,290.54
  6. Step 6: Final answer
    x = 199,463.55

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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.