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Finding the Fourth Proportional to 424,832.74, 637,097.33 and 140,470.80

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Solution

The fourth proportional to 424,832.74, 637,097.33 and 140,470.80 is: 210,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,832.74 : 637,097.33 = 140,470.80 : x
  2. Step 2: Convert to fraction form
    424,832.74/637,097.33 = 140,470.80/x
  3. Step 3: Cross multiply
    424,832.74x = 637,097.33 × 140,470.80
  4. Step 4: Simplify right side
    424,832.74x = 89,493,568,437.48
  5. Step 5: Solve for x
    x = 89,493,568,437.48/424,832.74
  6. Step 6: Final answer
    x = 210,656.01

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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.