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Finding the Fourth Proportional to 367,339.80, 506,864.88 and 206,201.64

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Solution

The fourth proportional to 367,339.80, 506,864.88 and 206,201.64 is: 284,522.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,339.80 : 506,864.88 = 206,201.64 : x
  2. Step 2: Convert to fraction form
    367,339.80/506,864.88 = 206,201.64/x
  3. Step 3: Cross multiply
    367,339.80x = 506,864.88 × 206,201.64
  4. Step 4: Simplify right side
    367,339.80x = 104,516,369,514.40
  5. Step 5: Solve for x
    x = 104,516,369,514.40/367,339.80
  6. Step 6: Final answer
    x = 284,522.31

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1.5x scale

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.