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Finding the Fourth Proportional to 422,844.48, 633,022.56 and 282,254.40

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Solution

The fourth proportional to 422,844.48, 633,022.56 and 282,254.40 is: 422,551.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,844.48 : 633,022.56 = 282,254.40 : x
  2. Step 2: Convert to fraction form
    422,844.48/633,022.56 = 282,254.40/x
  3. Step 3: Cross multiply
    422,844.48x = 633,022.56 × 282,254.40
  4. Step 4: Simplify right side
    422,844.48x = 178,673,402,859.26
  5. Step 5: Solve for x
    x = 178,673,402,859.26/422,844.48
  6. Step 6: Final answer
    x = 422,551.11

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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.