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Finding the Fourth Proportional to 299,386.38, 412,451.38 and 208,578.08

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Solution

The fourth proportional to 299,386.38, 412,451.38 and 208,578.08 is: 287,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,386.38 : 412,451.38 = 208,578.08 : x
  2. Step 2: Convert to fraction form
    299,386.38/412,451.38 = 208,578.08/x
  3. Step 3: Cross multiply
    299,386.38x = 412,451.38 × 208,578.08
  4. Step 4: Simplify right side
    299,386.38x = 86,028,316,933.75
  5. Step 5: Solve for x
    x = 86,028,316,933.75/299,386.38
  6. Step 6: Final answer
    x = 287,348.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.