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Finding the Fourth Proportional to 644,875.34, 967,311.84 and 171,560.69

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Solution

The fourth proportional to 644,875.34, 967,311.84 and 171,560.69 is: 257,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,875.34 : 967,311.84 = 171,560.69 : x
  2. Step 2: Convert to fraction form
    644,875.34/967,311.84 = 171,560.69/x
  3. Step 3: Cross multiply
    644,875.34x = 967,311.84 × 171,560.69
  4. Step 4: Simplify right side
    644,875.34x = 165,952,686,715.57
  5. Step 5: Solve for x
    x = 165,952,686,715.57/644,875.34
  6. Step 6: Final answer
    x = 257,340.72

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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.