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Finding the Fourth Proportional to 359,444.97, 496,058.12 and 206,532.66

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Solution

The fourth proportional to 359,444.97, 496,058.12 and 206,532.66 is: 285,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,444.97 : 496,058.12 = 206,532.66 : x
  2. Step 2: Convert to fraction form
    359,444.97/496,058.12 = 206,532.66/x
  3. Step 3: Cross multiply
    359,444.97x = 496,058.12 × 206,532.66
  4. Step 4: Simplify right side
    359,444.97x = 102,452,204,406.83
  5. Step 5: Solve for x
    x = 102,452,204,406.83/359,444.97
  6. Step 6: Final answer
    x = 285,028.90

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1.5x scale

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.