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Finding the Fourth Proportional to 304,125.84, 419,439.06 and 227,824.38

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Solution

The fourth proportional to 304,125.84, 419,439.06 and 227,824.38 is: 314,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,125.84 : 419,439.06 = 227,824.38 : x
  2. Step 2: Convert to fraction form
    304,125.84/419,439.06 = 227,824.38/x
  3. Step 3: Cross multiply
    304,125.84x = 419,439.06 × 227,824.38
  4. Step 4: Simplify right side
    304,125.84x = 95,558,443,792.28
  5. Step 5: Solve for x
    x = 95,558,443,792.28/304,125.84
  6. Step 6: Final answer
    x = 314,206.92

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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.