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Finding the Fourth Proportional to 415,508.80, 622,997.52 and 246,984.16

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Solution

The fourth proportional to 415,508.80, 622,997.52 and 246,984.16 is: 370,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,508.80 : 622,997.52 = 246,984.16 : x
  2. Step 2: Convert to fraction form
    415,508.80/622,997.52 = 246,984.16/x
  3. Step 3: Cross multiply
    415,508.80x = 622,997.52 × 246,984.16
  4. Step 4: Simplify right side
    415,508.80x = 153,870,519,159.28
  5. Step 5: Solve for x
    x = 153,870,519,159.28/415,508.80
  6. Step 6: Final answer
    x = 370,318.32

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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.