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Finding the Fourth Proportional to 433,967.56, 650,982.52 and 149,654.03

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Solution

The fourth proportional to 433,967.56, 650,982.52 and 149,654.03 is: 224,491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,967.56 : 650,982.52 = 149,654.03 : x
  2. Step 2: Convert to fraction form
    433,967.56/650,982.52 = 149,654.03/x
  3. Step 3: Cross multiply
    433,967.56x = 650,982.52 × 149,654.03
  4. Step 4: Simplify right side
    433,967.56x = 97,422,154,509.71
  5. Step 5: Solve for x
    x = 97,422,154,509.71/433,967.56
  6. Step 6: Final answer
    x = 224,491.79

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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.