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Finding the Fourth Proportional to 359,449.02, 496,041.30 and 198,304

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Solution

The fourth proportional to 359,449.02, 496,041.30 and 198,304 is: 273,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,449.02 : 496,041.30 = 198,304 : x
  2. Step 2: Convert to fraction form
    359,449.02/496,041.30 = 198,304/x
  3. Step 3: Cross multiply
    359,449.02x = 496,041.30 × 198,304
  4. Step 4: Simplify right side
    359,449.02x = 98,366,973,955.20
  5. Step 5: Solve for x
    x = 98,366,973,955.20/359,449.02
  6. Step 6: Final answer
    x = 273,660.43

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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.