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Finding the Fourth Proportional to 338,833.28, 508,268.16 and 89,508.48

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Solution

The fourth proportional to 338,833.28, 508,268.16 and 89,508.48 is: 134,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,833.28 : 508,268.16 = 89,508.48 : x
  2. Step 2: Convert to fraction form
    338,833.28/508,268.16 = 89,508.48/x
  3. Step 3: Cross multiply
    338,833.28x = 508,268.16 × 89,508.48
  4. Step 4: Simplify right side
    338,833.28x = 45,494,310,434.00
  5. Step 5: Solve for x
    x = 45,494,310,434.00/338,833.28
  6. Step 6: Final answer
    x = 134,267.54

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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.