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Finding the Fourth Proportional to 470,872.16, 649,825.79 and 266,927.04

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Solution

The fourth proportional to 470,872.16, 649,825.79 and 266,927.04 is: 368,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,872.16 : 649,825.79 = 266,927.04 : x
  2. Step 2: Convert to fraction form
    470,872.16/649,825.79 = 266,927.04/x
  3. Step 3: Cross multiply
    470,872.16x = 649,825.79 × 266,927.04
  4. Step 4: Simplify right side
    470,872.16x = 173,456,073,305.73
  5. Step 5: Solve for x
    x = 173,456,073,305.73/470,872.16
  6. Step 6: Final answer
    x = 368,371.91

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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.