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Finding the Fourth Proportional to 469,909.38, 648,457.57 and 255,044.84

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Solution

The fourth proportional to 469,909.38, 648,457.57 and 255,044.84 is: 351,952.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,909.38 : 648,457.57 = 255,044.84 : x
  2. Step 2: Convert to fraction form
    469,909.38/648,457.57 = 255,044.84/x
  3. Step 3: Cross multiply
    469,909.38x = 648,457.57 × 255,044.84
  4. Step 4: Simplify right side
    469,909.38x = 165,385,753,307.54
  5. Step 5: Solve for x
    x = 165,385,753,307.54/469,909.38
  6. Step 6: Final answer
    x = 351,952.44

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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.