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Finding the Fourth Proportional to 462,577.80, 693,915.30 and 146,961.30

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Solution

The fourth proportional to 462,577.80, 693,915.30 and 146,961.30 is: 220,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,577.80 : 693,915.30 = 146,961.30 : x
  2. Step 2: Convert to fraction form
    462,577.80/693,915.30 = 146,961.30/x
  3. Step 3: Cross multiply
    462,577.80x = 693,915.30 × 146,961.30
  4. Step 4: Simplify right side
    462,577.80x = 101,978,694,577.89
  5. Step 5: Solve for x
    x = 101,978,694,577.89/462,577.80
  6. Step 6: Final answer
    x = 220,457.39

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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.