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Finding the Fourth Proportional to 522,958.14, 784,483.92 and 203,102.37

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Solution

The fourth proportional to 522,958.14, 784,483.92 and 203,102.37 is: 304,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,958.14 : 784,483.92 = 203,102.37 : x
  2. Step 2: Convert to fraction form
    522,958.14/784,483.92 = 203,102.37/x
  3. Step 3: Cross multiply
    522,958.14x = 784,483.92 × 203,102.37
  4. Step 4: Simplify right side
    522,958.14x = 159,330,543,378.89
  5. Step 5: Solve for x
    x = 159,330,543,378.89/522,958.14
  6. Step 6: Final answer
    x = 304,671.70

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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.