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Finding the Fourth Proportional to 295,833.28, 443,572.16 and 115,704

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Solution

The fourth proportional to 295,833.28, 443,572.16 and 115,704 is: 173,486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,833.28 : 443,572.16 = 115,704 : x
  2. Step 2: Convert to fraction form
    295,833.28/443,572.16 = 115,704/x
  3. Step 3: Cross multiply
    295,833.28x = 443,572.16 × 115,704
  4. Step 4: Simplify right side
    295,833.28x = 51,323,073,200.64
  5. Step 5: Solve for x
    x = 51,323,073,200.64/295,833.28
  6. Step 6: Final answer
    x = 173,486.48

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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.