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Finding the Fourth Proportional to 522,912.06, 784,498.86 and 148,935.06

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Solution

The fourth proportional to 522,912.06, 784,498.86 and 148,935.06 is: 223,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,912.06 : 784,498.86 = 148,935.06 : x
  2. Step 2: Convert to fraction form
    522,912.06/784,498.86 = 148,935.06/x
  3. Step 3: Cross multiply
    522,912.06x = 784,498.86 × 148,935.06
  4. Step 4: Simplify right side
    522,912.06x = 116,839,384,784.03
  5. Step 5: Solve for x
    x = 116,839,384,784.03/522,912.06
  6. Step 6: Final answer
    x = 223,439.84

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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.