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Finding the Fourth Proportional to 409,191.84, 564,625.92 and 227,878.56

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Solution

The fourth proportional to 409,191.84, 564,625.92 and 227,878.56 is: 314,439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,191.84 : 564,625.92 = 227,878.56 : x
  2. Step 2: Convert to fraction form
    409,191.84/564,625.92 = 227,878.56/x
  3. Step 3: Cross multiply
    409,191.84x = 564,625.92 × 227,878.56
  4. Step 4: Simplify right side
    409,191.84x = 128,666,141,588.28
  5. Step 5: Solve for x
    x = 128,666,141,588.28/409,191.84
  6. Step 6: Final answer
    x = 314,439.66

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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.