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Finding the Fourth Proportional to 291,578.52, 402,370.74 and 164,246.52

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Solution

The fourth proportional to 291,578.52, 402,370.74 and 164,246.52 is: 226,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,578.52 : 402,370.74 = 164,246.52 : x
  2. Step 2: Convert to fraction form
    291,578.52/402,370.74 = 164,246.52/x
  3. Step 3: Cross multiply
    291,578.52x = 402,370.74 × 164,246.52
  4. Step 4: Simplify right side
    291,578.52x = 66,087,993,794.82
  5. Step 5: Solve for x
    x = 66,087,993,794.82/291,578.52
  6. Step 6: Final answer
    x = 226,655.91

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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.