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Finding the Fourth Proportional to 525,774.67, 725,568.13 and 284,056.49

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Solution

The fourth proportional to 525,774.67, 725,568.13 and 284,056.49 is: 391,997.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,774.67 : 725,568.13 = 284,056.49 : x
  2. Step 2: Convert to fraction form
    525,774.67/725,568.13 = 284,056.49/x
  3. Step 3: Cross multiply
    525,774.67x = 725,568.13 × 284,056.49
  4. Step 4: Simplify right side
    525,774.67x = 206,102,336,263.66
  5. Step 5: Solve for x
    x = 206,102,336,263.66/525,774.67
  6. Step 6: Final answer
    x = 391,997.46

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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.