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Finding the Fourth Proportional to 494,164.66, 741,301.48 and 157,126.47

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Solution

The fourth proportional to 494,164.66, 741,301.48 and 157,126.47 is: 235,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,164.66 : 741,301.48 = 157,126.47 : x
  2. Step 2: Convert to fraction form
    494,164.66/741,301.48 = 157,126.47/x
  3. Step 3: Cross multiply
    494,164.66x = 741,301.48 × 157,126.47
  4. Step 4: Simplify right side
    494,164.66x = 116,478,084,758.18
  5. Step 5: Solve for x
    x = 116,478,084,758.18/494,164.66
  6. Step 6: Final answer
    x = 235,707.03

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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.