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Finding the Fourth Proportional to 276,093.60, 413,897.40 and 187,058.40

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Solution

The fourth proportional to 276,093.60, 413,897.40 and 187,058.40 is: 280,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,093.60 : 413,897.40 = 187,058.40 : x
  2. Step 2: Convert to fraction form
    276,093.60/413,897.40 = 187,058.40/x
  3. Step 3: Cross multiply
    276,093.60x = 413,897.40 × 187,058.40
  4. Step 4: Simplify right side
    276,093.60x = 77,422,985,408.16
  5. Step 5: Solve for x
    x = 77,422,985,408.16/276,093.60
  6. Step 6: Final answer
    x = 280,422.96

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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.