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Finding the Fourth Proportional to 525,772.67, 725,565.38 and 284,054.49

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Solution

The fourth proportional to 525,772.67, 725,565.38 and 284,054.49 is: 391,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,772.67 : 725,565.38 = 284,054.49 : x
  2. Step 2: Convert to fraction form
    525,772.67/725,565.38 = 284,054.49/x
  3. Step 3: Cross multiply
    525,772.67x = 725,565.38 × 284,054.49
  4. Step 4: Simplify right side
    525,772.67x = 206,100,102,557.28
  5. Step 5: Solve for x
    x = 206,100,102,557.28/525,772.67
  6. Step 6: Final answer
    x = 391,994.71

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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.