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Finding the Fourth Proportional to 364,998.52, 547,310.86 and 194,317.24

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Solution

The fourth proportional to 364,998.52, 547,310.86 and 194,317.24 is: 291,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,998.52 : 547,310.86 = 194,317.24 : x
  2. Step 2: Convert to fraction form
    364,998.52/547,310.86 = 194,317.24/x
  3. Step 3: Cross multiply
    364,998.52x = 547,310.86 × 194,317.24
  4. Step 4: Simplify right side
    364,998.52x = 106,351,935,737.23
  5. Step 5: Solve for x
    x = 106,351,935,737.23/364,998.52
  6. Step 6: Final answer
    x = 291,376.35

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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.