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Finding the Fourth Proportional to 462,081.60, 693,122.40 and 284,011.20

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Solution

The fourth proportional to 462,081.60, 693,122.40 and 284,011.20 is: 426,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,081.60 : 693,122.40 = 284,011.20 : x
  2. Step 2: Convert to fraction form
    462,081.60/693,122.40 = 284,011.20/x
  3. Step 3: Cross multiply
    462,081.60x = 693,122.40 × 284,011.20
  4. Step 4: Simplify right side
    462,081.60x = 196,854,524,570.88
  5. Step 5: Solve for x
    x = 196,854,524,570.88/462,081.60
  6. Step 6: Final answer
    x = 426,016.80

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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.