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Finding the Fourth Proportional to 656,364.16, 984,546.12 and 157,728.16

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Solution

The fourth proportional to 656,364.16, 984,546.12 and 157,728.16 is: 236,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,364.16 : 984,546.12 = 157,728.16 : x
  2. Step 2: Convert to fraction form
    656,364.16/984,546.12 = 157,728.16/x
  3. Step 3: Cross multiply
    656,364.16x = 984,546.12 × 157,728.16
  4. Step 4: Simplify right side
    656,364.16x = 155,290,647,942.74
  5. Step 5: Solve for x
    x = 155,290,647,942.74/656,364.16
  6. Step 6: Final answer
    x = 236,592.21

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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.