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Finding the Fourth Proportional to 351,343, 527,013.51 and 271,497.16

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Solution

The fourth proportional to 351,343, 527,013.51 and 271,497.16 is: 407,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,343 : 527,013.51 = 271,497.16 : x
  2. Step 2: Convert to fraction form
    351,343/527,013.51 = 271,497.16/x
  3. Step 3: Cross multiply
    351,343x = 527,013.51 × 271,497.16
  4. Step 4: Simplify right side
    351,343x = 143,082,671,246.63
  5. Step 5: Solve for x
    x = 143,082,671,246.63/351,343
  6. Step 6: Final answer
    x = 407,244.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.