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Finding the Fourth Proportional to 322,166.24, 444,594.90 and 176,978.14

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Solution

The fourth proportional to 322,166.24, 444,594.90 and 176,978.14 is: 244,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,166.24 : 444,594.90 = 176,978.14 : x
  2. Step 2: Convert to fraction form
    322,166.24/444,594.90 = 176,978.14/x
  3. Step 3: Cross multiply
    322,166.24x = 444,594.90 × 176,978.14
  4. Step 4: Simplify right side
    322,166.24x = 78,683,578,455.49
  5. Step 5: Solve for x
    x = 78,683,578,455.49/322,166.24
  6. Step 6: Final answer
    x = 244,232.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.