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Finding the Fourth Proportional to 399,648.66, 599,699.70 and 146,896.26

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Solution

The fourth proportional to 399,648.66, 599,699.70 and 146,896.26 is: 220,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,648.66 : 599,699.70 = 146,896.26 : x
  2. Step 2: Convert to fraction form
    399,648.66/599,699.70 = 146,896.26/x
  3. Step 3: Cross multiply
    399,648.66x = 599,699.70 × 146,896.26
  4. Step 4: Simplify right side
    399,648.66x = 88,093,643,053.12
  5. Step 5: Solve for x
    x = 88,093,643,053.12/399,648.66
  6. Step 6: Final answer
    x = 220,427.72

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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.