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Finding the Fourth Proportional to 462,543.40, 693,879.90 and 196,301.80

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Solution

The fourth proportional to 462,543.40, 693,879.90 and 196,301.80 is: 294,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,543.40 : 693,879.90 = 196,301.80 : x
  2. Step 2: Convert to fraction form
    462,543.40/693,879.90 = 196,301.80/x
  3. Step 3: Cross multiply
    462,543.40x = 693,879.90 × 196,301.80
  4. Step 4: Simplify right side
    462,543.40x = 136,209,873,353.82
  5. Step 5: Solve for x
    x = 136,209,873,353.82/462,543.40
  6. Step 6: Final answer
    x = 294,480.20

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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.