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Finding the Fourth Proportional to 583,734.45, 875,627.91 and 178,897

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Solution

The fourth proportional to 583,734.45, 875,627.91 and 178,897 is: 268,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,734.45 : 875,627.91 = 178,897 : x
  2. Step 2: Convert to fraction form
    583,734.45/875,627.91 = 178,897/x
  3. Step 3: Cross multiply
    583,734.45x = 875,627.91 × 178,897
  4. Step 4: Simplify right side
    583,734.45x = 156,647,205,320.79
  5. Step 5: Solve for x
    x = 156,647,205,320.79/583,734.45
  6. Step 6: Final answer
    x = 268,353.54

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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.