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Finding the Fourth Proportional to 465,851.80, 698,777.16 and 146,005.84

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Solution

The fourth proportional to 465,851.80, 698,777.16 and 146,005.84 is: 219,008.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,851.80 : 698,777.16 = 146,005.84 : x
  2. Step 2: Convert to fraction form
    465,851.80/698,777.16 = 146,005.84/x
  3. Step 3: Cross multiply
    465,851.80x = 698,777.16 × 146,005.84
  4. Step 4: Simplify right side
    465,851.80x = 102,025,546,218.61
  5. Step 5: Solve for x
    x = 102,025,546,218.61/465,851.80
  6. Step 6: Final answer
    x = 219,008.59

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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.