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Finding the Fourth Proportional to 381,543.40, 571,854.30 and 194,458.60

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Solution

The fourth proportional to 381,543.40, 571,854.30 and 194,458.60 is: 291,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,543.40 : 571,854.30 = 194,458.60 : x
  2. Step 2: Convert to fraction form
    381,543.40/571,854.30 = 194,458.60/x
  3. Step 3: Cross multiply
    381,543.40x = 571,854.30 × 194,458.60
  4. Step 4: Simplify right side
    381,543.40x = 111,201,986,581.98
  5. Step 5: Solve for x
    x = 111,201,986,581.98/381,543.40
  6. Step 6: Final answer
    x = 291,453.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.