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Finding the Fourth Proportional to 367,184.28, 506,712.30 and 206,039.16

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Solution

The fourth proportional to 367,184.28, 506,712.30 and 206,039.16 is: 284,332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,184.28 : 506,712.30 = 206,039.16 : x
  2. Step 2: Convert to fraction form
    367,184.28/506,712.30 = 206,039.16/x
  3. Step 3: Cross multiply
    367,184.28x = 506,712.30 × 206,039.16
  4. Step 4: Simplify right side
    367,184.28x = 104,402,576,653.67
  5. Step 5: Solve for x
    x = 104,402,576,653.67/367,184.28
  6. Step 6: Final answer
    x = 284,332.91

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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.