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Finding the Fourth Proportional to 462,476.30, 693,584.85 and 147,029.90

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Solution

The fourth proportional to 462,476.30, 693,584.85 and 147,029.90 is: 220,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,476.30 : 693,584.85 = 147,029.90 : x
  2. Step 2: Convert to fraction form
    462,476.30/693,584.85 = 147,029.90/x
  3. Step 3: Cross multiply
    462,476.30x = 693,584.85 × 147,029.90
  4. Step 4: Simplify right side
    462,476.30x = 101,977,711,137.02
  5. Step 5: Solve for x
    x = 101,977,711,137.02/462,476.30
  6. Step 6: Final answer
    x = 220,503.65

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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.