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Finding the Fourth Proportional to 284,797.72, 393,022.86 and 155,736.76

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Solution

The fourth proportional to 284,797.72, 393,022.86 and 155,736.76 is: 214,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,797.72 : 393,022.86 = 155,736.76 : x
  2. Step 2: Convert to fraction form
    284,797.72/393,022.86 = 155,736.76/x
  3. Step 3: Cross multiply
    284,797.72x = 393,022.86 × 155,736.76
  4. Step 4: Simplify right side
    284,797.72x = 61,208,106,822.33
  5. Step 5: Solve for x
    x = 61,208,106,822.33/284,797.72
  6. Step 6: Final answer
    x = 214,917.83

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1.5x scale

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.