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Finding the Fourth Proportional to 512,831.69, 769,257.47 and 157,845.38

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Solution

The fourth proportional to 512,831.69, 769,257.47 and 157,845.38 is: 236,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,831.69 : 769,257.47 = 157,845.38 : x
  2. Step 2: Convert to fraction form
    512,831.69/769,257.47 = 157,845.38/x
  3. Step 3: Cross multiply
    512,831.69x = 769,257.47 × 157,845.38
  4. Step 4: Simplify right side
    512,831.69x = 121,423,734,218.32
  5. Step 5: Solve for x
    x = 121,423,734,218.32/512,831.69
  6. Step 6: Final answer
    x = 236,771.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.