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Finding the Fourth Proportional to 393,683.16, 590,238.66 and 156,954.84

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Solution

The fourth proportional to 393,683.16, 590,238.66 and 156,954.84 is: 235,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,683.16 : 590,238.66 = 156,954.84 : x
  2. Step 2: Convert to fraction form
    393,683.16/590,238.66 = 156,954.84/x
  3. Step 3: Cross multiply
    393,683.16x = 590,238.66 × 156,954.84
  4. Step 4: Simplify right side
    393,683.16x = 92,640,814,442.11
  5. Step 5: Solve for x
    x = 92,640,814,442.11/393,683.16
  6. Step 6: Final answer
    x = 235,318.20

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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.