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Finding the Fourth Proportional to 458,000.70, 686,806.65 and 221,415.90

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Solution

The fourth proportional to 458,000.70, 686,806.65 and 221,415.90 is: 332,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,000.70 : 686,806.65 = 221,415.90 : x
  2. Step 2: Convert to fraction form
    458,000.70/686,806.65 = 221,415.90/x
  3. Step 3: Cross multiply
    458,000.70x = 686,806.65 × 221,415.90
  4. Step 4: Simplify right side
    458,000.70x = 152,069,912,535.74
  5. Step 5: Solve for x
    x = 152,069,912,535.74/458,000.70
  6. Step 6: Final answer
    x = 332,029.87

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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.