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Finding the Fourth Proportional to 468,893.42, 647,037.14 and 285,106.46

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Solution

The fourth proportional to 468,893.42, 647,037.14 and 285,106.46 is: 393,425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,893.42 : 647,037.14 = 285,106.46 : x
  2. Step 2: Convert to fraction form
    468,893.42/647,037.14 = 285,106.46/x
  3. Step 3: Cross multiply
    468,893.42x = 647,037.14 × 285,106.46
  4. Step 4: Simplify right side
    468,893.42x = 184,474,468,473.92
  5. Step 5: Solve for x
    x = 184,474,468,473.92/468,893.42
  6. Step 6: Final answer
    x = 393,425.16

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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.