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Finding the Fourth Proportional to 580,226.58, 870,335.96 and 315,668.60

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Solution

The fourth proportional to 580,226.58, 870,335.96 and 315,668.60 is: 473,500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,226.58 : 870,335.96 = 315,668.60 : x
  2. Step 2: Convert to fraction form
    580,226.58/870,335.96 = 315,668.60/x
  3. Step 3: Cross multiply
    580,226.58x = 870,335.96 × 315,668.60
  4. Step 4: Simplify right side
    580,226.58x = 274,737,728,092.83
  5. Step 5: Solve for x
    x = 274,737,728,092.83/580,226.58
  6. Step 6: Final answer
    x = 473,500.76

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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.