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Finding the Fourth Proportional to 465,883.71, 698,805.23 and 146,028.28

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Solution

The fourth proportional to 465,883.71, 698,805.23 and 146,028.28 is: 219,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,883.71 : 698,805.23 = 146,028.28 : x
  2. Step 2: Convert to fraction form
    465,883.71/698,805.23 = 146,028.28/x
  3. Step 3: Cross multiply
    465,883.71x = 698,805.23 × 146,028.28
  4. Step 4: Simplify right side
    465,883.71x = 102,045,326,062.48
  5. Step 5: Solve for x
    x = 102,045,326,062.48/465,883.71
  6. Step 6: Final answer
    x = 219,036.05

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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.