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Finding the Fourth Proportional to 282,488.80, 423,464.16 and 104,874.08

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Solution

The fourth proportional to 282,488.80, 423,464.16 and 104,874.08 is: 157,211.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,488.80 : 423,464.16 = 104,874.08 : x
  2. Step 2: Convert to fraction form
    282,488.80/423,464.16 = 104,874.08/x
  3. Step 3: Cross multiply
    282,488.80x = 423,464.16 × 104,874.08
  4. Step 4: Simplify right side
    282,488.80x = 44,410,414,192.97
  5. Step 5: Solve for x
    x = 44,410,414,192.97/282,488.80
  6. Step 6: Final answer
    x = 157,211.24

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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.