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Finding the Fourth Proportional to 291,761.30, 402,618.93 and 164,463.32

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Solution

The fourth proportional to 291,761.30, 402,618.93 and 164,463.32 is: 226,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,761.30 : 402,618.93 = 164,463.32 : x
  2. Step 2: Convert to fraction form
    291,761.30/402,618.93 = 164,463.32/x
  3. Step 3: Cross multiply
    291,761.30x = 402,618.93 × 164,463.32
  4. Step 4: Simplify right side
    291,761.30x = 66,216,045,922.65
  5. Step 5: Solve for x
    x = 66,216,045,922.65/291,761.30
  6. Step 6: Final answer
    x = 226,952.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.