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Finding the Fourth Proportional to 408,459.24, 563,668.72 and 229,611.24

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Solution

The fourth proportional to 408,459.24, 563,668.72 and 229,611.24 is: 316,860.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,459.24 : 563,668.72 = 229,611.24 : x
  2. Step 2: Convert to fraction form
    408,459.24/563,668.72 = 229,611.24/x
  3. Step 3: Cross multiply
    408,459.24x = 563,668.72 × 229,611.24
  4. Step 4: Simplify right side
    408,459.24x = 129,424,673,748.41
  5. Step 5: Solve for x
    x = 129,424,673,748.41/408,459.24
  6. Step 6: Final answer
    x = 316,860.68

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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.