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Finding the Fourth Proportional to 291,704.02, 402,550.98 and 157,568.02

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Solution

The fourth proportional to 291,704.02, 402,550.98 and 157,568.02 is: 217,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,704.02 : 402,550.98 = 157,568.02 : x
  2. Step 2: Convert to fraction form
    291,704.02/402,550.98 = 157,568.02/x
  3. Step 3: Cross multiply
    291,704.02x = 402,550.98 × 157,568.02
  4. Step 4: Simplify right side
    291,704.02x = 63,429,160,867.66
  5. Step 5: Solve for x
    x = 63,429,160,867.66/291,704.02
  6. Step 6: Final answer
    x = 217,443.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.