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Finding the Fourth Proportional to 436,322.75, 654,322.11 and 151,940.30

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Solution

The fourth proportional to 436,322.75, 654,322.11 and 151,940.30 is: 227,854.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,322.75 : 654,322.11 = 151,940.30 : x
  2. Step 2: Convert to fraction form
    436,322.75/654,322.11 = 151,940.30/x
  3. Step 3: Cross multiply
    436,322.75x = 654,322.11 × 151,940.30
  4. Step 4: Simplify right side
    436,322.75x = 99,417,897,690.03
  5. Step 5: Solve for x
    x = 99,417,897,690.03/436,322.75
  6. Step 6: Final answer
    x = 227,854.03

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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.