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Finding the Fourth Proportional to 462,308.40, 693,462.60 and 225,529.20

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Solution

The fourth proportional to 462,308.40, 693,462.60 and 225,529.20 is: 338,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,308.40 : 693,462.60 = 225,529.20 : x
  2. Step 2: Convert to fraction form
    462,308.40/693,462.60 = 225,529.20/x
  3. Step 3: Cross multiply
    462,308.40x = 693,462.60 × 225,529.20
  4. Step 4: Simplify right side
    462,308.40x = 156,396,065,407.92
  5. Step 5: Solve for x
    x = 156,396,065,407.92/462,308.40
  6. Step 6: Final answer
    x = 338,293.80

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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.