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Finding the Fourth Proportional to 601,267.69, 901,984.56 and 202,022.65

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Solution

The fourth proportional to 601,267.69, 901,984.56 and 202,022.65 is: 303,061.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,267.69 : 901,984.56 = 202,022.65 : x
  2. Step 2: Convert to fraction form
    601,267.69/901,984.56 = 202,022.65/x
  3. Step 3: Cross multiply
    601,267.69x = 901,984.56 × 202,022.65
  4. Step 4: Simplify right side
    601,267.69x = 182,221,311,070.28
  5. Step 5: Solve for x
    x = 182,221,311,070.28/601,267.69
  6. Step 6: Final answer
    x = 303,061.87

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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.