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Finding the Fourth Proportional to 273,290.82, 410,060.78 and 140,264.49

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Solution

The fourth proportional to 273,290.82, 410,060.78 and 140,264.49 is: 210,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,290.82 : 410,060.78 = 140,264.49 : x
  2. Step 2: Convert to fraction form
    273,290.82/410,060.78 = 140,264.49/x
  3. Step 3: Cross multiply
    273,290.82x = 410,060.78 × 140,264.49
  4. Step 4: Simplify right side
    273,290.82x = 57,516,966,175.70
  5. Step 5: Solve for x
    x = 57,516,966,175.70/273,290.82
  6. Step 6: Final answer
    x = 210,460.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.