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Finding the Fourth Proportional to 564,836.91, 847,255.35 and 165,477.69

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Solution

The fourth proportional to 564,836.91, 847,255.35 and 165,477.69 is: 248,216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,836.91 : 847,255.35 = 165,477.69 : x
  2. Step 2: Convert to fraction form
    564,836.91/847,255.35 = 165,477.69/x
  3. Step 3: Cross multiply
    564,836.91x = 847,255.35 × 165,477.69
  4. Step 4: Simplify right side
    564,836.91x = 140,201,858,158.14
  5. Step 5: Solve for x
    x = 140,201,858,158.14/564,836.91
  6. Step 6: Final answer
    x = 248,216.53

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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.