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Finding the Fourth Proportional to 613,295.16, 919,878.02 and 164,061.36

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Solution

The fourth proportional to 613,295.16, 919,878.02 and 164,061.36 is: 246,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,295.16 : 919,878.02 = 164,061.36 : x
  2. Step 2: Convert to fraction form
    613,295.16/919,878.02 = 164,061.36/x
  3. Step 3: Cross multiply
    613,295.16x = 919,878.02 × 164,061.36
  4. Step 4: Simplify right side
    613,295.16x = 150,916,438,995.31
  5. Step 5: Solve for x
    x = 150,916,438,995.31/613,295.16
  6. Step 6: Final answer
    x = 246,074.73

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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.