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Finding the Fourth Proportional to 409,142.16, 564,575.72 and 227,870.96

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Solution

The fourth proportional to 409,142.16, 564,575.72 and 227,870.96 is: 314,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,142.16 : 564,575.72 = 227,870.96 : x
  2. Step 2: Convert to fraction form
    409,142.16/564,575.72 = 227,870.96/x
  3. Step 3: Cross multiply
    409,142.16x = 564,575.72 × 227,870.96
  4. Step 4: Simplify right side
    409,142.16x = 128,650,409,055.89
  5. Step 5: Solve for x
    x = 128,650,409,055.89/409,142.16
  6. Step 6: Final answer
    x = 314,439.38

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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.