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Finding the Fourth Proportional to 471,641.60, 707,017.68 and 234,760.34

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Solution

The fourth proportional to 471,641.60, 707,017.68 and 234,760.34 is: 351,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,641.60 : 707,017.68 = 234,760.34 : x
  2. Step 2: Convert to fraction form
    471,641.60/707,017.68 = 234,760.34/x
  3. Step 3: Cross multiply
    471,641.60x = 707,017.68 × 234,760.34
  4. Step 4: Simplify right side
    471,641.60x = 165,979,710,942.81
  5. Step 5: Solve for x
    x = 165,979,710,942.81/471,641.60
  6. Step 6: Final answer
    x = 351,919.15

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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.