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Finding the Fourth Proportional to 354,641.22, 531,773.82 and 154,728.06

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Solution

The fourth proportional to 354,641.22, 531,773.82 and 154,728.06 is: 232,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,641.22 : 531,773.82 = 154,728.06 : x
  2. Step 2: Convert to fraction form
    354,641.22/531,773.82 = 154,728.06/x
  3. Step 3: Cross multiply
    354,641.22x = 531,773.82 × 154,728.06
  4. Step 4: Simplify right side
    354,641.22x = 82,280,331,527.39
  5. Step 5: Solve for x
    x = 82,280,331,527.39/354,641.22
  6. Step 6: Final answer
    x = 232,010.06

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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.