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Finding the Fourth Proportional to 359,643.60, 496,309.14 and 196,301.57

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Solution

The fourth proportional to 359,643.60, 496,309.14 and 196,301.57 is: 270,896.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,643.60 : 496,309.14 = 196,301.57 : x
  2. Step 2: Convert to fraction form
    359,643.60/496,309.14 = 196,301.57/x
  3. Step 3: Cross multiply
    359,643.60x = 496,309.14 × 196,301.57
  4. Step 4: Simplify right side
    359,643.60x = 97,426,260,905.80
  5. Step 5: Solve for x
    x = 97,426,260,905.80/359,643.60
  6. Step 6: Final answer
    x = 270,896.69

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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.