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Finding the Fourth Proportional to 468,644.56, 702,961.40 and 188,156.88

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Solution

The fourth proportional to 468,644.56, 702,961.40 and 188,156.88 is: 282,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,644.56 : 702,961.40 = 188,156.88 : x
  2. Step 2: Convert to fraction form
    468,644.56/702,961.40 = 188,156.88/x
  3. Step 3: Cross multiply
    468,644.56x = 702,961.40 × 188,156.88
  4. Step 4: Simplify right side
    468,644.56x = 132,267,023,784.43
  5. Step 5: Solve for x
    x = 132,267,023,784.43/468,644.56
  6. Step 6: Final answer
    x = 282,233.14

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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.