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Finding the Fourth Proportional to 461,199.84, 636,358.56 and 280,007.04

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Solution

The fourth proportional to 461,199.84, 636,358.56 and 280,007.04 is: 386,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,199.84 : 636,358.56 = 280,007.04 : x
  2. Step 2: Convert to fraction form
    461,199.84/636,358.56 = 280,007.04/x
  3. Step 3: Cross multiply
    461,199.84x = 636,358.56 × 280,007.04
  4. Step 4: Simplify right side
    461,199.84x = 178,184,876,764.26
  5. Step 5: Solve for x
    x = 178,184,876,764.26/461,199.84
  6. Step 6: Final answer
    x = 386,350.69

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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.