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Finding the Fourth Proportional to 385,509.29, 578,794.56 and 196,097.82

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Solution

The fourth proportional to 385,509.29, 578,794.56 and 196,097.82 is: 294,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,509.29 : 578,794.56 = 196,097.82 : x
  2. Step 2: Convert to fraction form
    385,509.29/578,794.56 = 196,097.82/x
  3. Step 3: Cross multiply
    385,509.29x = 578,794.56 × 196,097.82
  4. Step 4: Simplify right side
    385,509.29x = 113,500,351,443.86
  5. Step 5: Solve for x
    x = 113,500,351,443.86/385,509.29
  6. Step 6: Final answer
    x = 294,416.65

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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.