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Finding the Fourth Proportional to 304,800.82, 457,288.71 and 199,489.48

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Solution

The fourth proportional to 304,800.82, 457,288.71 and 199,489.48 is: 299,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,800.82 : 457,288.71 = 199,489.48 : x
  2. Step 2: Convert to fraction form
    304,800.82/457,288.71 = 199,489.48/x
  3. Step 3: Cross multiply
    304,800.82x = 457,288.71 × 199,489.48
  4. Step 4: Simplify right side
    304,800.82x = 91,224,286,967.77
  5. Step 5: Solve for x
    x = 91,224,286,967.77/304,800.82
  6. Step 6: Final answer
    x = 299,291.47

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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.