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Finding the Fourth Proportional to 580,197.20, 870,317.24 and 159,506

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Solution

The fourth proportional to 580,197.20, 870,317.24 and 159,506 is: 239,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,197.20 : 870,317.24 = 159,506 : x
  2. Step 2: Convert to fraction form
    580,197.20/870,317.24 = 159,506/x
  3. Step 3: Cross multiply
    580,197.20x = 870,317.24 × 159,506
  4. Step 4: Simplify right side
    580,197.20x = 138,820,821,683.44
  5. Step 5: Solve for x
    x = 138,820,821,683.44/580,197.20
  6. Step 6: Final answer
    x = 239,264.89

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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.