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Finding the Fourth Proportional to 512,173.07, 706,831.54 and 285,818.57

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Solution

The fourth proportional to 512,173.07, 706,831.54 and 285,818.57 is: 394,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,173.07 : 706,831.54 = 285,818.57 : x
  2. Step 2: Convert to fraction form
    512,173.07/706,831.54 = 285,818.57/x
  3. Step 3: Cross multiply
    512,173.07x = 706,831.54 × 285,818.57
  4. Step 4: Simplify right side
    512,173.07x = 202,025,575,744.99
  5. Step 5: Solve for x
    x = 202,025,575,744.99/512,173.07
  6. Step 6: Final answer
    x = 394,447.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.