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Finding the Fourth Proportional to 304,028.38, 456,042.59 and 82,412.38

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Solution

The fourth proportional to 304,028.38, 456,042.59 and 82,412.38 is: 123,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,028.38 : 456,042.59 = 82,412.38 : x
  2. Step 2: Convert to fraction form
    304,028.38/456,042.59 = 82,412.38/x
  3. Step 3: Cross multiply
    304,028.38x = 456,042.59 × 82,412.38
  4. Step 4: Simplify right side
    304,028.38x = 37,583,552,530.99
  5. Step 5: Solve for x
    x = 37,583,552,530.99/304,028.38
  6. Step 6: Final answer
    x = 123,618.57

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1.5x scale

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.