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Finding the Fourth Proportional to 465,883.85, 698,805.44 and 146,028.42

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Solution

The fourth proportional to 465,883.85, 698,805.44 and 146,028.42 is: 219,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,883.85 : 698,805.44 = 146,028.42 : x
  2. Step 2: Convert to fraction form
    465,883.85/698,805.44 = 146,028.42/x
  3. Step 3: Cross multiply
    465,883.85x = 698,805.44 × 146,028.42
  4. Step 4: Simplify right side
    465,883.85x = 102,045,454,929.48
  5. Step 5: Solve for x
    x = 102,045,454,929.48/465,883.85
  6. Step 6: Final answer
    x = 219,036.26

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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.