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Finding the Fourth Proportional to 512,869.32, 769,410.90 and 157,865.76

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Solution

The fourth proportional to 512,869.32, 769,410.90 and 157,865.76 is: 236,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,869.32 : 769,410.90 = 157,865.76 : x
  2. Step 2: Convert to fraction form
    512,869.32/769,410.90 = 157,865.76/x
  3. Step 3: Cross multiply
    512,869.32x = 769,410.90 × 157,865.76
  4. Step 4: Simplify right side
    512,869.32x = 121,463,636,480.78
  5. Step 5: Solve for x
    x = 121,463,636,480.78/512,869.32
  6. Step 6: Final answer
    x = 236,831.55

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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.