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Finding the Fourth Proportional to 580,125.54, 870,230.19 and 242,826.78

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Solution

The fourth proportional to 580,125.54, 870,230.19 and 242,826.78 is: 364,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,125.54 : 870,230.19 = 242,826.78 : x
  2. Step 2: Convert to fraction form
    580,125.54/870,230.19 = 242,826.78/x
  3. Step 3: Cross multiply
    580,125.54x = 870,230.19 × 242,826.78
  4. Step 4: Simplify right side
    580,125.54x = 211,315,194,896.49
  5. Step 5: Solve for x
    x = 211,315,194,896.49/580,125.54
  6. Step 6: Final answer
    x = 364,257.70

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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.