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Finding the Fourth Proportional to 395,096.85, 592,405.29 and 154,923

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Solution

The fourth proportional to 395,096.85, 592,405.29 and 154,923 is: 232,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,096.85 : 592,405.29 = 154,923 : x
  2. Step 2: Convert to fraction form
    395,096.85/592,405.29 = 154,923/x
  3. Step 3: Cross multiply
    395,096.85x = 592,405.29 × 154,923
  4. Step 4: Simplify right side
    395,096.85x = 91,777,204,742.67
  5. Step 5: Solve for x
    x = 91,777,204,742.67/395,096.85
  6. Step 6: Final answer
    x = 232,290.40

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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.