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Finding the Fourth Proportional to 359,494.40, 496,097.48 and 198,356.24

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Solution

The fourth proportional to 359,494.40, 496,097.48 and 198,356.24 is: 273,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,494.40 : 496,097.48 = 198,356.24 : x
  2. Step 2: Convert to fraction form
    359,494.40/496,097.48 = 198,356.24/x
  3. Step 3: Cross multiply
    359,494.40x = 496,097.48 × 198,356.24
  4. Step 4: Simplify right side
    359,494.40x = 98,404,030,806.28
  5. Step 5: Solve for x
    x = 98,404,030,806.28/359,494.40
  6. Step 6: Final answer
    x = 273,728.97

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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.