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Finding the Fourth Proportional to 366,658.20, 506,002.50 and 205,514.28

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Solution

The fourth proportional to 366,658.20, 506,002.50 and 205,514.28 is: 283,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,658.20 : 506,002.50 = 205,514.28 : x
  2. Step 2: Convert to fraction form
    366,658.20/506,002.50 = 205,514.28/x
  3. Step 3: Cross multiply
    366,658.20x = 506,002.50 × 205,514.28
  4. Step 4: Simplify right side
    366,658.20x = 103,990,739,465.70
  5. Step 5: Solve for x
    x = 103,990,739,465.70/366,658.20
  6. Step 6: Final answer
    x = 283,617.66

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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.