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Finding the Fourth Proportional to 359,713.53, 496,405.86 and 198,568.20

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Solution

The fourth proportional to 359,713.53, 496,405.86 and 198,568.20 is: 274,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,713.53 : 496,405.86 = 198,568.20 : x
  2. Step 2: Convert to fraction form
    359,713.53/496,405.86 = 198,568.20/x
  3. Step 3: Cross multiply
    359,713.53x = 496,405.86 × 198,568.20
  4. Step 4: Simplify right side
    359,713.53x = 98,570,418,089.65
  5. Step 5: Solve for x
    x = 98,570,418,089.65/359,713.53
  6. Step 6: Final answer
    x = 274,024.77

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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.