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Finding the Fourth Proportional to 462,575.80, 693,863.70 and 162,956.80

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Solution

The fourth proportional to 462,575.80, 693,863.70 and 162,956.80 is: 244,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,575.80 : 693,863.70 = 162,956.80 : x
  2. Step 2: Convert to fraction form
    462,575.80/693,863.70 = 162,956.80/x
  3. Step 3: Cross multiply
    462,575.80x = 693,863.70 × 162,956.80
  4. Step 4: Simplify right side
    462,575.80x = 113,069,808,188.16
  5. Step 5: Solve for x
    x = 113,069,808,188.16/462,575.80
  6. Step 6: Final answer
    x = 244,435.20

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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.