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Finding the Fourth Proportional to 370,147.32, 510,793.86 and 206,805.06

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Solution

The fourth proportional to 370,147.32, 510,793.86 and 206,805.06 is: 285,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,147.32 : 510,793.86 = 206,805.06 : x
  2. Step 2: Convert to fraction form
    370,147.32/510,793.86 = 206,805.06/x
  3. Step 3: Cross multiply
    370,147.32x = 510,793.86 × 206,805.06
  4. Step 4: Simplify right side
    370,147.32x = 105,634,754,864.93
  5. Step 5: Solve for x
    x = 105,634,754,864.93/370,147.32
  6. Step 6: Final answer
    x = 285,385.71

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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.