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Finding the Fourth Proportional to 282,447.90, 423,730.16 and 82,774.80

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Solution

The fourth proportional to 282,447.90, 423,730.16 and 82,774.80 is: 124,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,447.90 : 423,730.16 = 82,774.80 : x
  2. Step 2: Convert to fraction form
    282,447.90/423,730.16 = 82,774.80/x
  3. Step 3: Cross multiply
    282,447.90x = 423,730.16 × 82,774.80
  4. Step 4: Simplify right side
    282,447.90x = 35,074,179,247.97
  5. Step 5: Solve for x
    x = 35,074,179,247.97/282,447.90
  6. Step 6: Final answer
    x = 124,179.29

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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.