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Finding the Fourth Proportional to 386,280.38, 533,083.32 and 216,514.50

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Solution

The fourth proportional to 386,280.38, 533,083.32 and 216,514.50 is: 298,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,280.38 : 533,083.32 = 216,514.50 : x
  2. Step 2: Convert to fraction form
    386,280.38/533,083.32 = 216,514.50/x
  3. Step 3: Cross multiply
    386,280.38x = 533,083.32 × 216,514.50
  4. Step 4: Simplify right side
    386,280.38x = 115,420,268,488.14
  5. Step 5: Solve for x
    x = 115,420,268,488.14/386,280.38
  6. Step 6: Final answer
    x = 298,799.20

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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.