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Finding the Fourth Proportional to 291,759.30, 402,616.17 and 164,461.32

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Solution

The fourth proportional to 291,759.30, 402,616.17 and 164,461.32 is: 226,950.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,759.30 : 402,616.17 = 164,461.32 : x
  2. Step 2: Convert to fraction form
    291,759.30/402,616.17 = 164,461.32/x
  3. Step 3: Cross multiply
    291,759.30x = 402,616.17 × 164,461.32
  4. Step 4: Simplify right side
    291,759.30x = 66,214,786,771.54
  5. Step 5: Solve for x
    x = 66,214,786,771.54/291,759.30
  6. Step 6: Final answer
    x = 226,950.05

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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.