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Finding the Fourth Proportional to 574,213, 861,327.18 and 180,229

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Solution

The fourth proportional to 574,213, 861,327.18 and 180,229 is: 270,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,213 : 861,327.18 = 180,229 : x
  2. Step 2: Convert to fraction form
    574,213/861,327.18 = 180,229/x
  3. Step 3: Cross multiply
    574,213x = 861,327.18 × 180,229
  4. Step 4: Simplify right side
    574,213x = 155,236,136,324.22
  5. Step 5: Solve for x
    x = 155,236,136,324.22/574,213
  6. Step 6: Final answer
    x = 270,345.91

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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.