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Finding the Fourth Proportional to 305,935.38, 421,850.46 and 209,155.05

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Solution

The fourth proportional to 305,935.38, 421,850.46 and 209,155.05 is: 288,401.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,935.38 : 421,850.46 = 209,155.05 : x
  2. Step 2: Convert to fraction form
    305,935.38/421,850.46 = 209,155.05/x
  3. Step 3: Cross multiply
    305,935.38x = 421,850.46 × 209,155.05
  4. Step 4: Simplify right side
    305,935.38x = 88,232,154,053.82
  5. Step 5: Solve for x
    x = 88,232,154,053.82/305,935.38
  6. Step 6: Final answer
    x = 288,401.28

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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.