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Finding the Fourth Proportional to 532,610.25, 735,024.02 and 306,255.75

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Solution

The fourth proportional to 532,610.25, 735,024.02 and 306,255.75 is: 422,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,610.25 : 735,024.02 = 306,255.75 : x
  2. Step 2: Convert to fraction form
    532,610.25/735,024.02 = 306,255.75/x
  3. Step 3: Cross multiply
    532,610.25x = 735,024.02 × 306,255.75
  4. Step 4: Simplify right side
    532,610.25x = 225,105,330,981.84
  5. Step 5: Solve for x
    x = 225,105,330,981.84/532,610.25
  6. Step 6: Final answer
    x = 422,645.51

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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.