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Finding the Fourth Proportional to 271,705.16, 409,510.72 and 234,207.02

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Solution

The fourth proportional to 271,705.16, 409,510.72 and 234,207.02 is: 352,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,705.16 : 409,510.72 = 234,207.02 : x
  2. Step 2: Convert to fraction form
    271,705.16/409,510.72 = 234,207.02/x
  3. Step 3: Cross multiply
    271,705.16x = 409,510.72 × 234,207.02
  4. Step 4: Simplify right side
    271,705.16x = 95,910,286,705.79
  5. Step 5: Solve for x
    x = 95,910,286,705.79/271,705.16
  6. Step 6: Final answer
    x = 352,993.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.