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Finding the Fourth Proportional to 580,097.20, 870,145.80 and 314,376.70

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Solution

The fourth proportional to 580,097.20, 870,145.80 and 314,376.70 is: 471,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,097.20 : 870,145.80 = 314,376.70 : x
  2. Step 2: Convert to fraction form
    580,097.20/870,145.80 = 314,376.70/x
  3. Step 3: Cross multiply
    580,097.20x = 870,145.80 × 314,376.70
  4. Step 4: Simplify right side
    580,097.20x = 273,553,565,122.86
  5. Step 5: Solve for x
    x = 273,553,565,122.86/580,097.20
  6. Step 6: Final answer
    x = 471,565.05

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Similar ratio
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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.