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Finding the Fourth Proportional to 433,644.96, 650,305.80 and 149,256.12

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Solution

The fourth proportional to 433,644.96, 650,305.80 and 149,256.12 is: 223,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,644.96 : 650,305.80 = 149,256.12 : x
  2. Step 2: Convert to fraction form
    433,644.96/650,305.80 = 149,256.12/x
  3. Step 3: Cross multiply
    433,644.96x = 650,305.80 × 149,256.12
  4. Step 4: Simplify right side
    433,644.96x = 97,062,120,521.50
  5. Step 5: Solve for x
    x = 97,062,120,521.50/433,644.96
  6. Step 6: Final answer
    x = 223,828.55

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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.