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Finding the Fourth Proportional to 382,510.53, 573,831.39 and 116,297.94

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Solution

The fourth proportional to 382,510.53, 573,831.39 and 116,297.94 is: 174,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,510.53 : 573,831.39 = 116,297.94 : x
  2. Step 2: Convert to fraction form
    382,510.53/573,831.39 = 116,297.94/x
  3. Step 3: Cross multiply
    382,510.53x = 573,831.39 × 116,297.94
  4. Step 4: Simplify right side
    382,510.53x = 66,735,408,564.34
  5. Step 5: Solve for x
    x = 66,735,408,564.34/382,510.53
  6. Step 6: Final answer
    x = 174,466.85

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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.