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Finding the Fourth Proportional to 433,728.66, 650,779.06 and 167,676

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Solution

The fourth proportional to 433,728.66, 650,779.06 and 167,676 is: 251,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,728.66 : 650,779.06 = 167,676 : x
  2. Step 2: Convert to fraction form
    433,728.66/650,779.06 = 167,676/x
  3. Step 3: Cross multiply
    433,728.66x = 650,779.06 × 167,676
  4. Step 4: Simplify right side
    433,728.66x = 109,120,029,664.56
  5. Step 5: Solve for x
    x = 109,120,029,664.56/433,728.66
  6. Step 6: Final answer
    x = 251,585.93

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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.