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Finding the Fourth Proportional to 475,825.91, 713,301.75 and 205,785.14

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Solution

The fourth proportional to 475,825.91, 713,301.75 and 205,785.14 is: 308,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,825.91 : 713,301.75 = 205,785.14 : x
  2. Step 2: Convert to fraction form
    475,825.91/713,301.75 = 205,785.14/x
  3. Step 3: Cross multiply
    475,825.91x = 713,301.75 × 205,785.14
  4. Step 4: Simplify right side
    475,825.91x = 146,786,896,919.49
  5. Step 5: Solve for x
    x = 146,786,896,919.49/475,825.91
  6. Step 6: Final answer
    x = 308,488.66

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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.