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Finding the Fourth Proportional to 512,831.30, 769,256.85 and 157,844.95

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Solution

The fourth proportional to 512,831.30, 769,256.85 and 157,844.95 is: 236,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,831.30 : 769,256.85 = 157,844.95 : x
  2. Step 2: Convert to fraction form
    512,831.30/769,256.85 = 157,844.95/x
  3. Step 3: Cross multiply
    512,831.30x = 769,256.85 × 157,844.95
  4. Step 4: Simplify right side
    512,831.30x = 121,423,311,133.38
  5. Step 5: Solve for x
    x = 121,423,311,133.38/512,831.30
  6. Step 6: Final answer
    x = 236,770.48

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1.5x scale

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.