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Finding the Fourth Proportional to 397,872.29, 596,590.32 and 157,742.93

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Solution

The fourth proportional to 397,872.29, 596,590.32 and 157,742.93 is: 236,527.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,872.29 : 596,590.32 = 157,742.93 : x
  2. Step 2: Convert to fraction form
    397,872.29/596,590.32 = 157,742.93/x
  3. Step 3: Cross multiply
    397,872.29x = 596,590.32 × 157,742.93
  4. Step 4: Simplify right side
    397,872.29x = 94,107,905,086.44
  5. Step 5: Solve for x
    x = 94,107,905,086.44/397,872.29
  6. Step 6: Final answer
    x = 236,527.92

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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.