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Finding the Fourth Proportional to 304,189.44, 456,050.88 and 185,916.48

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Solution

The fourth proportional to 304,189.44, 456,050.88 and 185,916.48 is: 278,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,189.44 : 456,050.88 = 185,916.48 : x
  2. Step 2: Convert to fraction form
    304,189.44/456,050.88 = 185,916.48/x
  3. Step 3: Cross multiply
    304,189.44x = 456,050.88 × 185,916.48
  4. Step 4: Simplify right side
    304,189.44x = 84,787,374,310.50
  5. Step 5: Solve for x
    x = 84,787,374,310.50/304,189.44
  6. Step 6: Final answer
    x = 278,732.14

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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.