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Finding the Fourth Proportional to 305,878.64, 422,098.24 and 169,921.40

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Solution

The fourth proportional to 305,878.64, 422,098.24 and 169,921.40 is: 234,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,878.64 : 422,098.24 = 169,921.40 : x
  2. Step 2: Convert to fraction form
    305,878.64/422,098.24 = 169,921.40/x
  3. Step 3: Cross multiply
    305,878.64x = 422,098.24 × 169,921.40
  4. Step 4: Simplify right side
    305,878.64x = 71,723,523,878.34
  5. Step 5: Solve for x
    x = 71,723,523,878.34/305,878.64
  6. Step 6: Final answer
    x = 234,483.60

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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.