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Finding the Fourth Proportional to 457,358.60, 685,671.52 and 217,352.04

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Solution

The fourth proportional to 457,358.60, 685,671.52 and 217,352.04 is: 325,853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,358.60 : 685,671.52 = 217,352.04 : x
  2. Step 2: Convert to fraction form
    457,358.60/685,671.52 = 217,352.04/x
  3. Step 3: Cross multiply
    457,358.60x = 685,671.52 × 217,352.04
  4. Step 4: Simplify right side
    457,358.60x = 149,032,103,641.90
  5. Step 5: Solve for x
    x = 149,032,103,641.90/457,358.60
  6. Step 6: Final answer
    x = 325,853.94

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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.