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Finding the Fourth Proportional to 367,031.40, 506,523.42 and 205,937.52

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Solution

The fourth proportional to 367,031.40, 506,523.42 and 205,937.52 is: 284,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,031.40 : 506,523.42 = 205,937.52 : x
  2. Step 2: Convert to fraction form
    367,031.40/506,523.42 = 205,937.52/x
  3. Step 3: Cross multiply
    367,031.40x = 506,523.42 × 205,937.52
  4. Step 4: Simplify right side
    367,031.40x = 104,312,176,936.72
  5. Step 5: Solve for x
    x = 104,312,176,936.72/367,031.40
  6. Step 6: Final answer
    x = 284,205.05

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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.