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Finding the Fourth Proportional to 304,111.60, 456,167.40 and 204,578.80

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Solution

The fourth proportional to 304,111.60, 456,167.40 and 204,578.80 is: 306,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,111.60 : 456,167.40 = 204,578.80 : x
  2. Step 2: Convert to fraction form
    304,111.60/456,167.40 = 204,578.80/x
  3. Step 3: Cross multiply
    304,111.60x = 456,167.40 × 204,578.80
  4. Step 4: Simplify right side
    304,111.60x = 93,322,179,291.12
  5. Step 5: Solve for x
    x = 93,322,179,291.12/304,111.60
  6. Step 6: Final answer
    x = 306,868.20

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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.