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Finding the Fourth Proportional to 491,345.76, 737,033.22 and 191,814.24

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Solution

The fourth proportional to 491,345.76, 737,033.22 and 191,814.24 is: 287,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,345.76 : 737,033.22 = 191,814.24 : x
  2. Step 2: Convert to fraction form
    491,345.76/737,033.22 = 191,814.24/x
  3. Step 3: Cross multiply
    491,345.76x = 737,033.22 × 191,814.24
  4. Step 4: Simplify right side
    491,345.76x = 141,373,466,949.05
  5. Step 5: Solve for x
    x = 141,373,466,949.05/491,345.76
  6. Step 6: Final answer
    x = 287,727.05

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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.