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Finding the Fourth Proportional to 351,571.44, 527,352.68 and 85,334

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Solution

The fourth proportional to 351,571.44, 527,352.68 and 85,334 is: 127,999.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,571.44 : 527,352.68 = 85,334 : x
  2. Step 2: Convert to fraction form
    351,571.44/527,352.68 = 85,334/x
  3. Step 3: Cross multiply
    351,571.44x = 527,352.68 × 85,334
  4. Step 4: Simplify right side
    351,571.44x = 45,001,113,595.12
  5. Step 5: Solve for x
    x = 45,001,113,595.12/351,571.44
  6. Step 6: Final answer
    x = 127,999.91

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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.