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Finding the Fourth Proportional to 409,279.94, 564,823.33 and 227,991.81

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Solution

The fourth proportional to 409,279.94, 564,823.33 and 227,991.81 is: 314,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,279.94 : 564,823.33 = 227,991.81 : x
  2. Step 2: Convert to fraction form
    409,279.94/564,823.33 = 227,991.81/x
  3. Step 3: Cross multiply
    409,279.94x = 564,823.33 × 227,991.81
  4. Step 4: Simplify right side
    409,279.94x = 128,775,094,885.04
  5. Step 5: Solve for x
    x = 128,775,094,885.04/409,279.94
  6. Step 6: Final answer
    x = 314,638.18

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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.