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Finding the Fourth Proportional to 360,708.36, 541,111.74 and 150,297

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Solution

The fourth proportional to 360,708.36, 541,111.74 and 150,297 is: 225,466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,708.36 : 541,111.74 = 150,297 : x
  2. Step 2: Convert to fraction form
    360,708.36/541,111.74 = 150,297/x
  3. Step 3: Cross multiply
    360,708.36x = 541,111.74 × 150,297
  4. Step 4: Simplify right side
    360,708.36x = 81,327,471,186.78
  5. Step 5: Solve for x
    x = 81,327,471,186.78/360,708.36
  6. Step 6: Final answer
    x = 225,466.00

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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.