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Finding the Fourth Proportional to 523,037.52, 784,384.56 and 167,967.54

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Solution

The fourth proportional to 523,037.52, 784,384.56 and 167,967.54 is: 251,896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,037.52 : 784,384.56 = 167,967.54 : x
  2. Step 2: Convert to fraction form
    523,037.52/784,384.56 = 167,967.54/x
  3. Step 3: Cross multiply
    523,037.52x = 784,384.56 × 167,967.54
  4. Step 4: Simplify right side
    523,037.52x = 131,751,144,957.18
  5. Step 5: Solve for x
    x = 131,751,144,957.18/523,037.52
  6. Step 6: Final answer
    x = 251,896.16

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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.