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Finding the Fourth Proportional to 475,576.25, 713,673.59 and 205,967.64

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Solution

The fourth proportional to 475,576.25, 713,673.59 and 205,967.64 is: 309,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,576.25 : 713,673.59 = 205,967.64 : x
  2. Step 2: Convert to fraction form
    475,576.25/713,673.59 = 205,967.64/x
  3. Step 3: Cross multiply
    475,576.25x = 713,673.59 × 205,967.64
  4. Step 4: Simplify right side
    475,576.25x = 146,993,666,709.07
  5. Step 5: Solve for x
    x = 146,993,666,709.07/475,576.25
  6. Step 6: Final answer
    x = 309,085.38

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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.