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Finding the Fourth Proportional to 367,309.84, 506,848.64 and 206,182.61

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Solution

The fourth proportional to 367,309.84, 506,848.64 and 206,182.61 is: 284,510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,309.84 : 506,848.64 = 206,182.61 : x
  2. Step 2: Convert to fraction form
    367,309.84/506,848.64 = 206,182.61/x
  3. Step 3: Cross multiply
    367,309.84x = 506,848.64 × 206,182.61
  4. Step 4: Simplify right side
    367,309.84x = 104,503,377,816.48
  5. Step 5: Solve for x
    x = 104,503,377,816.48/367,309.84
  6. Step 6: Final answer
    x = 284,510.15

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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.