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Finding the Fourth Proportional to 292,614.71, 438,934.26 and 142,676.42

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Solution

The fourth proportional to 292,614.71, 438,934.26 and 142,676.42 is: 214,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,614.71 : 438,934.26 = 142,676.42 : x
  2. Step 2: Convert to fraction form
    292,614.71/438,934.26 = 142,676.42/x
  3. Step 3: Cross multiply
    292,614.71x = 438,934.26 × 142,676.42
  4. Step 4: Simplify right side
    292,614.71x = 62,625,568,832.15
  5. Step 5: Solve for x
    x = 62,625,568,832.15/292,614.71
  6. Step 6: Final answer
    x = 214,020.58

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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.