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Finding the Fourth Proportional to 525,768.05, 725,559.01 and 284,049.88

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Solution

The fourth proportional to 525,768.05, 725,559.01 and 284,049.88 is: 391,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,768.05 : 725,559.01 = 284,049.88 : x
  2. Step 2: Convert to fraction form
    525,768.05/725,559.01 = 284,049.88/x
  3. Step 3: Cross multiply
    525,768.05x = 725,559.01 × 284,049.88
  4. Step 4: Simplify right side
    525,768.05x = 206,094,949,723.42
  5. Step 5: Solve for x
    x = 206,094,949,723.42/525,768.05
  6. Step 6: Final answer
    x = 391,988.35

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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.