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Finding the Fourth Proportional to 304,814.90, 457,204.76 and 91,578.24

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Solution

The fourth proportional to 304,814.90, 457,204.76 and 91,578.24 is: 137,362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,814.90 : 457,204.76 = 91,578.24 : x
  2. Step 2: Convert to fraction form
    304,814.90/457,204.76 = 91,578.24/x
  3. Step 3: Cross multiply
    304,814.90x = 457,204.76 × 91,578.24
  4. Step 4: Simplify right side
    304,814.90x = 41,870,007,240.42
  5. Step 5: Solve for x
    x = 41,870,007,240.42/304,814.90
  6. Step 6: Final answer
    x = 137,362.08

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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.