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Finding the Fourth Proportional to 300,656.16, 415,184.40 and 225,073.44

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Solution

The fourth proportional to 300,656.16, 415,184.40 and 225,073.44 is: 310,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,656.16 : 415,184.40 = 225,073.44 : x
  2. Step 2: Convert to fraction form
    300,656.16/415,184.40 = 225,073.44/x
  3. Step 3: Cross multiply
    300,656.16x = 415,184.40 × 225,073.44
  4. Step 4: Simplify right side
    300,656.16x = 93,446,981,142.34
  5. Step 5: Solve for x
    x = 93,446,981,142.34/300,656.16
  6. Step 6: Final answer
    x = 310,810.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.