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Finding the Fourth Proportional to 433,615.80, 650,261.88 and 149,226.78

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Solution

The fourth proportional to 433,615.80, 650,261.88 and 149,226.78 is: 223,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,615.80 : 650,261.88 = 149,226.78 : x
  2. Step 2: Convert to fraction form
    433,615.80/650,261.88 = 149,226.78/x
  3. Step 3: Cross multiply
    433,615.80x = 650,261.88 × 149,226.78
  4. Step 4: Simplify right side
    433,615.80x = 97,036,486,509.15
  5. Step 5: Solve for x
    x = 97,036,486,509.15/433,615.80
  6. Step 6: Final answer
    x = 223,784.48

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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.