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Finding the Fourth Proportional to 338,321.64, 466,876.72 and 185,352.38

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Solution

The fourth proportional to 338,321.64, 466,876.72 and 185,352.38 is: 255,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,321.64 : 466,876.72 = 185,352.38 : x
  2. Step 2: Convert to fraction form
    338,321.64/466,876.72 = 185,352.38/x
  3. Step 3: Cross multiply
    338,321.64x = 466,876.72 × 185,352.38
  4. Step 4: Simplify right side
    338,321.64x = 86,536,711,218.59
  5. Step 5: Solve for x
    x = 86,536,711,218.59/338,321.64
  6. Step 6: Final answer
    x = 255,782.37

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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.