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Finding the Fourth Proportional to 295,298.40, 442,947.60 and 117,832.80

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Solution

The fourth proportional to 295,298.40, 442,947.60 and 117,832.80 is: 176,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,298.40 : 442,947.60 = 117,832.80 : x
  2. Step 2: Convert to fraction form
    295,298.40/442,947.60 = 117,832.80/x
  3. Step 3: Cross multiply
    295,298.40x = 442,947.60 × 117,832.80
  4. Step 4: Simplify right side
    295,298.40x = 52,193,755,961.28
  5. Step 5: Solve for x
    x = 52,193,755,961.28/295,298.40
  6. Step 6: Final answer
    x = 176,749.20

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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.