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Finding the Fourth Proportional to 281,643.52, 422,562.48 and 176,337.04

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Solution

The fourth proportional to 281,643.52, 422,562.48 and 176,337.04 is: 264,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,643.52 : 422,562.48 = 176,337.04 : x
  2. Step 2: Convert to fraction form
    281,643.52/422,562.48 = 176,337.04/x
  3. Step 3: Cross multiply
    281,643.52x = 422,562.48 × 176,337.04
  4. Step 4: Simplify right side
    281,643.52x = 74,513,416,938.26
  5. Step 5: Solve for x
    x = 74,513,416,938.26/281,643.52
  6. Step 6: Final answer
    x = 264,566.42

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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.