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Finding the Fourth Proportional to 476,167.92, 714,231.40 and 143,734

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Solution

The fourth proportional to 476,167.92, 714,231.40 and 143,734 is: 215,594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,167.92 : 714,231.40 = 143,734 : x
  2. Step 2: Convert to fraction form
    476,167.92/714,231.40 = 143,734/x
  3. Step 3: Cross multiply
    476,167.92x = 714,231.40 × 143,734
  4. Step 4: Simplify right side
    476,167.92x = 102,659,336,047.60
  5. Step 5: Solve for x
    x = 102,659,336,047.60/476,167.92
  6. Step 6: Final answer
    x = 215,594.82

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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.