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Finding the Fourth Proportional to 473,142.56, 652,849.38 and 269,181.58

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Solution

The fourth proportional to 473,142.56, 652,849.38 and 269,181.58 is: 371,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,142.56 : 652,849.38 = 269,181.58 : x
  2. Step 2: Convert to fraction form
    473,142.56/652,849.38 = 269,181.58/x
  3. Step 3: Cross multiply
    473,142.56x = 652,849.38 × 269,181.58
  4. Step 4: Simplify right side
    473,142.56x = 175,735,024,826.72
  5. Step 5: Solve for x
    x = 175,735,024,826.72/473,142.56
  6. Step 6: Final answer
    x = 371,420.88

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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.