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Finding the Fourth Proportional to 580,145.22, 870,218.04 and 180,818.14

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Solution

The fourth proportional to 580,145.22, 870,218.04 and 180,818.14 is: 271,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,145.22 : 870,218.04 = 180,818.14 : x
  2. Step 2: Convert to fraction form
    580,145.22/870,218.04 = 180,818.14/x
  3. Step 3: Cross multiply
    580,145.22x = 870,218.04 × 180,818.14
  4. Step 4: Simplify right side
    580,145.22x = 157,351,207,387.25
  5. Step 5: Solve for x
    x = 157,351,207,387.25/580,145.22
  6. Step 6: Final answer
    x = 271,227.28

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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.