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Finding the Fourth Proportional to 656,358.16, 984,537.14 and 157,722.16

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Solution

The fourth proportional to 656,358.16, 984,537.14 and 157,722.16 is: 236,583.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,358.16 : 984,537.14 = 157,722.16 : x
  2. Step 2: Convert to fraction form
    656,358.16/984,537.14 = 157,722.16/x
  3. Step 3: Cross multiply
    656,358.16x = 984,537.14 × 157,722.16
  4. Step 4: Simplify right side
    656,358.16x = 155,283,324,321.02
  5. Step 5: Solve for x
    x = 155,283,324,321.02/656,358.16
  6. Step 6: Final answer
    x = 236,583.22

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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.