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Finding the Fourth Proportional to 465,901.83, 698,832.73 and 146,046.53

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Solution

The fourth proportional to 465,901.83, 698,832.73 and 146,046.53 is: 219,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,901.83 : 698,832.73 = 146,046.53 : x
  2. Step 2: Convert to fraction form
    465,901.83/698,832.73 = 146,046.53/x
  3. Step 3: Cross multiply
    465,901.83x = 698,832.73 × 146,046.53
  4. Step 4: Simplify right side
    465,901.83x = 102,062,095,597.70
  5. Step 5: Solve for x
    x = 102,062,095,597.70/465,901.83
  6. Step 6: Final answer
    x = 219,063.52

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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.