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Finding the Fourth Proportional to 415,009.80, 622,514.70 and 302,160.60

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Solution

The fourth proportional to 415,009.80, 622,514.70 and 302,160.60 is: 453,240.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,009.80 : 622,514.70 = 302,160.60 : x
  2. Step 2: Convert to fraction form
    415,009.80/622,514.70 = 302,160.60/x
  3. Step 3: Cross multiply
    415,009.80x = 622,514.70 × 302,160.60
  4. Step 4: Simplify right side
    415,009.80x = 188,099,415,260.82
  5. Step 5: Solve for x
    x = 188,099,415,260.82/415,009.80
  6. Step 6: Final answer
    x = 453,240.90

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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.