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Finding the Fourth Proportional to 367,343.52, 506,942.88 and 206,210.40

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Solution

The fourth proportional to 367,343.52, 506,942.88 and 206,210.40 is: 284,575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,343.52 : 506,942.88 = 206,210.40 : x
  2. Step 2: Convert to fraction form
    367,343.52/506,942.88 = 206,210.40/x
  3. Step 3: Cross multiply
    367,343.52x = 506,942.88 × 206,210.40
  4. Step 4: Simplify right side
    367,343.52x = 104,536,894,061.95
  5. Step 5: Solve for x
    x = 104,536,894,061.95/367,343.52
  6. Step 6: Final answer
    x = 284,575.30

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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.