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Finding the Fourth Proportional to 360,906.48, 541,357.29 and 282,087

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Solution

The fourth proportional to 360,906.48, 541,357.29 and 282,087 is: 423,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,906.48 : 541,357.29 = 282,087 : x
  2. Step 2: Convert to fraction form
    360,906.48/541,357.29 = 282,087/x
  3. Step 3: Cross multiply
    360,906.48x = 541,357.29 × 282,087
  4. Step 4: Simplify right side
    360,906.48x = 152,709,853,864.23
  5. Step 5: Solve for x
    x = 152,709,853,864.23/360,906.48
  6. Step 6: Final answer
    x = 423,128.60

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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.