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Finding the Fourth Proportional to 580,072.20, 870,108.30 and 314,351.70

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Solution

The fourth proportional to 580,072.20, 870,108.30 and 314,351.70 is: 471,527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,072.20 : 870,108.30 = 314,351.70 : x
  2. Step 2: Convert to fraction form
    580,072.20/870,108.30 = 314,351.70/x
  3. Step 3: Cross multiply
    580,072.20x = 870,108.30 × 314,351.70
  4. Step 4: Simplify right side
    580,072.20x = 273,520,023,289.11
  5. Step 5: Solve for x
    x = 273,520,023,289.11/580,072.20
  6. Step 6: Final answer
    x = 471,527.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.