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Finding the Fourth Proportional to 464,553.32, 696,764.36 and 148,969.22

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Solution

The fourth proportional to 464,553.32, 696,764.36 and 148,969.22 is: 223,432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,553.32 : 696,764.36 = 148,969.22 : x
  2. Step 2: Convert to fraction form
    464,553.32/696,764.36 = 148,969.22/x
  3. Step 3: Cross multiply
    464,553.32x = 696,764.36 × 148,969.22
  4. Step 4: Simplify right side
    464,553.32x = 103,796,440,121.60
  5. Step 5: Solve for x
    x = 103,796,440,121.60/464,553.32
  6. Step 6: Final answer
    x = 223,432.78

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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.