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Finding the Fourth Proportional to 409,204.84, 564,701.10 and 227,918.92

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Solution

The fourth proportional to 409,204.84, 564,701.10 and 227,918.92 is: 314,527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,204.84 : 564,701.10 = 227,918.92 : x
  2. Step 2: Convert to fraction form
    409,204.84/564,701.10 = 227,918.92/x
  3. Step 3: Cross multiply
    409,204.84x = 564,701.10 × 227,918.92
  4. Step 4: Simplify right side
    409,204.84x = 128,706,064,834.81
  5. Step 5: Solve for x
    x = 128,706,064,834.81/409,204.84
  6. Step 6: Final answer
    x = 314,527.23

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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.