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Finding the Fourth Proportional to 461,202.84, 636,362.70 and 280,010.04

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Solution

The fourth proportional to 461,202.84, 636,362.70 and 280,010.04 is: 386,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,202.84 : 636,362.70 = 280,010.04 : x
  2. Step 2: Convert to fraction form
    461,202.84/636,362.70 = 280,010.04/x
  3. Step 3: Cross multiply
    461,202.84x = 636,362.70 × 280,010.04
  4. Step 4: Simplify right side
    461,202.84x = 178,187,945,081.51
  5. Step 5: Solve for x
    x = 178,187,945,081.51/461,202.84
  6. Step 6: Final answer
    x = 386,354.83

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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.