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Finding the Fourth Proportional to 333,208.49, 498,649.97 and 272,535.64

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Solution

The fourth proportional to 333,208.49, 498,649.97 and 272,535.64 is: 407,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,208.49 : 498,649.97 = 272,535.64 : x
  2. Step 2: Convert to fraction form
    333,208.49/498,649.97 = 272,535.64/x
  3. Step 3: Cross multiply
    333,208.49x = 498,649.97 × 272,535.64
  4. Step 4: Simplify right side
    333,208.49x = 135,899,888,144.65
  5. Step 5: Solve for x
    x = 135,899,888,144.65/333,208.49
  6. Step 6: Final answer
    x = 407,852.42

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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.