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Finding the Fourth Proportional to 397,792.07, 596,707.78 and 113,524.52

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Solution

The fourth proportional to 397,792.07, 596,707.78 and 113,524.52 is: 170,292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,792.07 : 596,707.78 = 113,524.52 : x
  2. Step 2: Convert to fraction form
    397,792.07/596,707.78 = 113,524.52/x
  3. Step 3: Cross multiply
    397,792.07x = 596,707.78 × 113,524.52
  4. Step 4: Simplify right side
    397,792.07x = 67,740,964,304.77
  5. Step 5: Solve for x
    x = 67,740,964,304.77/397,792.07
  6. Step 6: Final answer
    x = 170,292.39

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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.