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Finding the Fourth Proportional to 291,952.46, 402,893.79 and 164,627.30

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Solution

The fourth proportional to 291,952.46, 402,893.79 and 164,627.30 is: 227,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,952.46 : 402,893.79 = 164,627.30 : x
  2. Step 2: Convert to fraction form
    291,952.46/402,893.79 = 164,627.30/x
  3. Step 3: Cross multiply
    291,952.46x = 402,893.79 × 164,627.30
  4. Step 4: Simplify right side
    291,952.46x = 66,327,316,834.47
  5. Step 5: Solve for x
    x = 66,327,316,834.47/291,952.46
  6. Step 6: Final answer
    x = 227,185.33

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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.