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Finding the Fourth Proportional to 367,275.72, 506,889.95 and 206,139.58

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Solution

The fourth proportional to 367,275.72, 506,889.95 and 206,139.58 is: 284,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,275.72 : 506,889.95 = 206,139.58 : x
  2. Step 2: Convert to fraction form
    367,275.72/506,889.95 = 206,139.58/x
  3. Step 3: Cross multiply
    367,275.72x = 506,889.95 × 206,139.58
  4. Step 4: Simplify right side
    367,275.72x = 104,490,083,112.09
  5. Step 5: Solve for x
    x = 104,490,083,112.09/367,275.72
  6. Step 6: Final answer
    x = 284,500.38

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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.