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Finding the Fourth Proportional to 613,286.16, 919,864.53 and 164,052.38

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Solution

The fourth proportional to 613,286.16, 919,864.53 and 164,052.38 is: 246,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,286.16 : 919,864.53 = 164,052.38 : x
  2. Step 2: Convert to fraction form
    613,286.16/919,864.53 = 164,052.38/x
  3. Step 3: Cross multiply
    613,286.16x = 919,864.53 × 164,052.38
  4. Step 4: Simplify right side
    613,286.16x = 150,905,960,824.76
  5. Step 5: Solve for x
    x = 150,905,960,824.76/613,286.16
  6. Step 6: Final answer
    x = 246,061.25

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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.