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Finding the Fourth Proportional to 580,195.20, 870,314.24 and 159,504

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Solution

The fourth proportional to 580,195.20, 870,314.24 and 159,504 is: 239,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,195.20 : 870,314.24 = 159,504 : x
  2. Step 2: Convert to fraction form
    580,195.20/870,314.24 = 159,504/x
  3. Step 3: Cross multiply
    580,195.20x = 870,314.24 × 159,504
  4. Step 4: Simplify right side
    580,195.20x = 138,818,602,536.96
  5. Step 5: Solve for x
    x = 138,818,602,536.96/580,195.20
  6. Step 6: Final answer
    x = 239,261.89

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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.