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Finding the Fourth Proportional to 378,526.94, 567,908.86 and 112,288.86

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Solution

The fourth proportional to 378,526.94, 567,908.86 and 112,288.86 is: 168,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,526.94 : 567,908.86 = 112,288.86 : x
  2. Step 2: Convert to fraction form
    378,526.94/567,908.86 = 112,288.86/x
  3. Step 3: Cross multiply
    378,526.94x = 567,908.86 × 112,288.86
  4. Step 4: Simplify right side
    378,526.94x = 63,769,838,473.30
  5. Step 5: Solve for x
    x = 63,769,838,473.30/378,526.94
  6. Step 6: Final answer
    x = 168,468.43

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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.