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Finding the Fourth Proportional to 580,043.16, 870,000.21 and 180,650.52

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Solution

The fourth proportional to 580,043.16, 870,000.21 and 180,650.52 is: 270,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,043.16 : 870,000.21 = 180,650.52 : x
  2. Step 2: Convert to fraction form
    580,043.16/870,000.21 = 180,650.52/x
  3. Step 3: Cross multiply
    580,043.16x = 870,000.21 × 180,650.52
  4. Step 4: Simplify right side
    580,043.16x = 157,165,990,336.61
  5. Step 5: Solve for x
    x = 157,165,990,336.61/580,043.16
  6. Step 6: Final answer
    x = 270,955.68

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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.