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Finding the Fourth Proportional to 510,716.25, 766,220.54 and 173,831.13

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Solution

The fourth proportional to 510,716.25, 766,220.54 and 173,831.13 is: 260,796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,716.25 : 766,220.54 = 173,831.13 : x
  2. Step 2: Convert to fraction form
    510,716.25/766,220.54 = 173,831.13/x
  3. Step 3: Cross multiply
    510,716.25x = 766,220.54 × 173,831.13
  4. Step 4: Simplify right side
    510,716.25x = 133,192,982,297.41
  5. Step 5: Solve for x
    x = 133,192,982,297.41/510,716.25
  6. Step 6: Final answer
    x = 260,796.44

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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.