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Finding the Fourth Proportional to 433,641.96, 650,301.30 and 149,253.12

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Solution

The fourth proportional to 433,641.96, 650,301.30 and 149,253.12 is: 223,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,641.96 : 650,301.30 = 149,253.12 : x
  2. Step 2: Convert to fraction form
    433,641.96/650,301.30 = 149,253.12/x
  3. Step 3: Cross multiply
    433,641.96x = 650,301.30 × 149,253.12
  4. Step 4: Simplify right side
    433,641.96x = 97,059,497,965.06
  5. Step 5: Solve for x
    x = 97,059,497,965.06/433,641.96
  6. Step 6: Final answer
    x = 223,824.05

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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.