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Finding the Fourth Proportional to 359,198.22, 537,981.74 and 278,589.08

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Solution

The fourth proportional to 359,198.22, 537,981.74 and 278,589.08 is: 417,251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,198.22 : 537,981.74 = 278,589.08 : x
  2. Step 2: Convert to fraction form
    359,198.22/537,981.74 = 278,589.08/x
  3. Step 3: Cross multiply
    359,198.22x = 537,981.74 × 278,589.08
  4. Step 4: Simplify right side
    359,198.22x = 149,875,838,003.40
  5. Step 5: Solve for x
    x = 149,875,838,003.40/359,198.22
  6. Step 6: Final answer
    x = 417,251.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.