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Finding the Fourth Proportional to 445,963.38, 668,727.06 and 311,092.08

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Solution

The fourth proportional to 445,963.38, 668,727.06 and 311,092.08 is: 466,486.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,963.38 : 668,727.06 = 311,092.08 : x
  2. Step 2: Convert to fraction form
    445,963.38/668,727.06 = 311,092.08/x
  3. Step 3: Cross multiply
    445,963.38x = 668,727.06 × 311,092.08
  4. Step 4: Simplify right side
    445,963.38x = 208,035,692,047.69
  5. Step 5: Solve for x
    x = 208,035,692,047.69/445,963.38
  6. Step 6: Final answer
    x = 466,486.04

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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.