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Finding the Fourth Proportional to 564,871.02, 847,313.42 and 165,519.87

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Solution

The fourth proportional to 564,871.02, 847,313.42 and 165,519.87 is: 248,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,871.02 : 847,313.42 = 165,519.87 : x
  2. Step 2: Convert to fraction form
    564,871.02/847,313.42 = 165,519.87/x
  3. Step 3: Cross multiply
    564,871.02x = 847,313.42 × 165,519.87
  4. Step 4: Simplify right side
    564,871.02x = 140,247,206,300.06
  5. Step 5: Solve for x
    x = 140,247,206,300.06/564,871.02
  6. Step 6: Final answer
    x = 248,281.82

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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.