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Finding the Fourth Proportional to 422,845.48, 633,024.06 and 282,255.40

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Solution

The fourth proportional to 422,845.48, 633,024.06 and 282,255.40 is: 422,552.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,845.48 : 633,024.06 = 282,255.40 : x
  2. Step 2: Convert to fraction form
    422,845.48/633,024.06 = 282,255.40/x
  3. Step 3: Cross multiply
    422,845.48x = 633,024.06 × 282,255.40
  4. Step 4: Simplify right side
    422,845.48x = 178,674,459,264.92
  5. Step 5: Solve for x
    x = 178,674,459,264.92/422,845.48
  6. Step 6: Final answer
    x = 422,552.61

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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.