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Finding the Fourth Proportional to 524,098.14, 786,451.97 and 220,470.04

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Solution

The fourth proportional to 524,098.14, 786,451.97 and 220,470.04 is: 330,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,098.14 : 786,451.97 = 220,470.04 : x
  2. Step 2: Convert to fraction form
    524,098.14/786,451.97 = 220,470.04/x
  3. Step 3: Cross multiply
    524,098.14x = 786,451.97 × 220,470.04
  4. Step 4: Simplify right side
    524,098.14x = 173,389,097,283.98
  5. Step 5: Solve for x
    x = 173,389,097,283.98/524,098.14
  6. Step 6: Final answer
    x = 330,833.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.