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Finding the Fourth Proportional to 580,534.75, 870,857.16 and 225,576.19

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Solution

The fourth proportional to 580,534.75, 870,857.16 and 225,576.19 is: 338,385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,534.75 : 870,857.16 = 225,576.19 : x
  2. Step 2: Convert to fraction form
    580,534.75/870,857.16 = 225,576.19/x
  3. Step 3: Cross multiply
    580,534.75x = 870,857.16 × 225,576.19
  4. Step 4: Simplify right side
    580,534.75x = 196,444,640,187.02
  5. Step 5: Solve for x
    x = 196,444,640,187.02/580,534.75
  6. Step 6: Final answer
    x = 338,385.67

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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.