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Finding the Fourth Proportional to 564,880.68, 847,327.85 and 165,529.54

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Solution

The fourth proportional to 564,880.68, 847,327.85 and 165,529.54 is: 248,296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,880.68 : 847,327.85 = 165,529.54 : x
  2. Step 2: Convert to fraction form
    564,880.68/847,327.85 = 165,529.54/x
  3. Step 3: Cross multiply
    564,880.68x = 847,327.85 × 165,529.54
  4. Step 4: Simplify right side
    564,880.68x = 140,257,789,239.69
  5. Step 5: Solve for x
    x = 140,257,789,239.69/564,880.68
  6. Step 6: Final answer
    x = 248,296.31

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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.