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Finding the Fourth Proportional to 428,136.49, 590,841.69 and 237,167.65

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Solution

The fourth proportional to 428,136.49, 590,841.69 and 237,167.65 is: 327,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,136.49 : 590,841.69 = 237,167.65 : x
  2. Step 2: Convert to fraction form
    428,136.49/590,841.69 = 237,167.65/x
  3. Step 3: Cross multiply
    428,136.49x = 590,841.69 × 237,167.65
  4. Step 4: Simplify right side
    428,136.49x = 140,128,532,185.12
  5. Step 5: Solve for x
    x = 140,128,532,185.12/428,136.49
  6. Step 6: Final answer
    x = 327,298.74

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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.