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Finding the Fourth Proportional to 552,237.74, 827,142.42 and 456,381.54

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Solution

The fourth proportional to 552,237.74, 827,142.42 and 456,381.54 is: 683,568.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,237.74 : 827,142.42 = 456,381.54 : x
  2. Step 2: Convert to fraction form
    552,237.74/827,142.42 = 456,381.54/x
  3. Step 3: Cross multiply
    552,237.74x = 827,142.42 × 456,381.54
  4. Step 4: Simplify right side
    552,237.74x = 377,492,531,438.93
  5. Step 5: Solve for x
    x = 377,492,531,438.93/552,237.74
  6. Step 6: Final answer
    x = 683,568.88

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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.