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Finding the Fourth Proportional to 315,143.10, 435,463.83 and 239,560.38

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Solution

The fourth proportional to 315,143.10, 435,463.83 and 239,560.38 is: 331,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,143.10 : 435,463.83 = 239,560.38 : x
  2. Step 2: Convert to fraction form
    315,143.10/435,463.83 = 239,560.38/x
  3. Step 3: Cross multiply
    315,143.10x = 435,463.83 × 239,560.38
  4. Step 4: Simplify right side
    315,143.10x = 104,319,880,591.06
  5. Step 5: Solve for x
    x = 104,319,880,591.06/315,143.10
  6. Step 6: Final answer
    x = 331,023.84

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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.