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Finding the Fourth Proportional to 462,564.27, 638,303.22 and 281,251.04

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Solution

The fourth proportional to 462,564.27, 638,303.22 and 281,251.04 is: 388,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,564.27 : 638,303.22 = 281,251.04 : x
  2. Step 2: Convert to fraction form
    462,564.27/638,303.22 = 281,251.04/x
  3. Step 3: Cross multiply
    462,564.27x = 638,303.22 × 281,251.04
  4. Step 4: Simplify right side
    462,564.27x = 179,523,441,268.83
  5. Step 5: Solve for x
    x = 179,523,441,268.83/462,564.27
  6. Step 6: Final answer
    x = 388,104.86

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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.