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Finding the Fourth Proportional to 475,544.25, 713,625.48 and 205,935.69

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Solution

The fourth proportional to 475,544.25, 713,625.48 and 205,935.69 is: 309,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,544.25 : 713,625.48 = 205,935.69 : x
  2. Step 2: Convert to fraction form
    475,544.25/713,625.48 = 205,935.69/x
  3. Step 3: Cross multiply
    475,544.25x = 713,625.48 × 205,935.69
  4. Step 4: Simplify right side
    475,544.25x = 146,960,955,625.38
  5. Step 5: Solve for x
    x = 146,960,955,625.38/475,544.25
  6. Step 6: Final answer
    x = 309,037.39

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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.