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Finding the Fourth Proportional to 462,023.60, 693,294.60 and 195,738.80

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Solution

The fourth proportional to 462,023.60, 693,294.60 and 195,738.80 is: 293,718.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,023.60 : 693,294.60 = 195,738.80 : x
  2. Step 2: Convert to fraction form
    462,023.60/693,294.60 = 195,738.80/x
  3. Step 3: Cross multiply
    462,023.60x = 693,294.60 × 195,738.80
  4. Step 4: Simplify right side
    462,023.60x = 135,704,653,050.48
  5. Step 5: Solve for x
    x = 135,704,653,050.48/462,023.60
  6. Step 6: Final answer
    x = 293,718.01

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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.