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Finding the Fourth Proportional to 291,343.90, 402,062.10 and 164,024.04

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Solution

The fourth proportional to 291,343.90, 402,062.10 and 164,024.04 is: 226,357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,343.90 : 402,062.10 = 164,024.04 : x
  2. Step 2: Convert to fraction form
    291,343.90/402,062.10 = 164,024.04/x
  3. Step 3: Cross multiply
    291,343.90x = 402,062.10 × 164,024.04
  4. Step 4: Simplify right side
    291,343.90x = 65,947,849,972.88
  5. Step 5: Solve for x
    x = 65,947,849,972.88/291,343.90
  6. Step 6: Final answer
    x = 226,357.41

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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.