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Finding the Fourth Proportional to 342,422.76, 472,531.50 and 189,458.52

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Solution

The fourth proportional to 342,422.76, 472,531.50 and 189,458.52 is: 261,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,422.76 : 472,531.50 = 189,458.52 : x
  2. Step 2: Convert to fraction form
    342,422.76/472,531.50 = 189,458.52/x
  3. Step 3: Cross multiply
    342,422.76x = 472,531.50 × 189,458.52
  4. Step 4: Simplify right side
    342,422.76x = 89,525,118,643.38
  5. Step 5: Solve for x
    x = 89,525,118,643.38/342,422.76
  6. Step 6: Final answer
    x = 261,446.17

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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.