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Finding the Fourth Proportional to 523,082.80, 784,429.80 and 207,474.40

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Solution

The fourth proportional to 523,082.80, 784,429.80 and 207,474.40 is: 311,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,082.80 : 784,429.80 = 207,474.40 : x
  2. Step 2: Convert to fraction form
    523,082.80/784,429.80 = 207,474.40/x
  3. Step 3: Cross multiply
    523,082.80x = 784,429.80 × 207,474.40
  4. Step 4: Simplify right side
    523,082.80x = 162,749,102,097.12
  5. Step 5: Solve for x
    x = 162,749,102,097.12/523,082.80
  6. Step 6: Final answer
    x = 311,134.49

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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.