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Finding the Fourth Proportional to 424,742.74, 586,134.23 and 231,142.21

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Solution

The fourth proportional to 424,742.74, 586,134.23 and 231,142.21 is: 318,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,742.74 : 586,134.23 = 231,142.21 : x
  2. Step 2: Convert to fraction form
    424,742.74/586,134.23 = 231,142.21/x
  3. Step 3: Cross multiply
    424,742.74x = 586,134.23 × 231,142.21
  4. Step 4: Simplify right side
    424,742.74x = 135,480,358,657.80
  5. Step 5: Solve for x
    x = 135,480,358,657.80/424,742.74
  6. Step 6: Final answer
    x = 318,970.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.