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Finding the Fourth Proportional to 359,730.92, 496,444.75 and 206,818.72

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Solution

The fourth proportional to 359,730.92, 496,444.75 and 206,818.72 is: 285,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,730.92 : 496,444.75 = 206,818.72 : x
  2. Step 2: Convert to fraction form
    359,730.92/496,444.75 = 206,818.72/x
  3. Step 3: Cross multiply
    359,730.92x = 496,444.75 × 206,818.72
  4. Step 4: Simplify right side
    359,730.92x = 102,674,065,987.56
  5. Step 5: Solve for x
    x = 102,674,065,987.56/359,730.92
  6. Step 6: Final answer
    x = 285,419.07

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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.