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Finding the Fourth Proportional to 424,650.38, 637,074 and 144,167.63

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Solution

The fourth proportional to 424,650.38, 637,074 and 144,167.63 is: 216,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,650.38 : 637,074 = 144,167.63 : x
  2. Step 2: Convert to fraction form
    424,650.38/637,074 = 144,167.63/x
  3. Step 3: Cross multiply
    424,650.38x = 637,074 × 144,167.63
  4. Step 4: Simplify right side
    424,650.38x = 91,845,445,529.25
  5. Step 5: Solve for x
    x = 91,845,445,529.25/424,650.38
  6. Step 6: Final answer
    x = 216,284.86

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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.