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Finding the Fourth Proportional to 552,157.84, 827,746.48 and 215,120.48

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Solution

The fourth proportional to 552,157.84, 827,746.48 and 215,120.48 is: 322,489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,157.84 : 827,746.48 = 215,120.48 : x
  2. Step 2: Convert to fraction form
    552,157.84/827,746.48 = 215,120.48/x
  3. Step 3: Cross multiply
    552,157.84x = 827,746.48 × 215,120.48
  4. Step 4: Simplify right side
    552,157.84x = 178,065,220,095.91
  5. Step 5: Solve for x
    x = 178,065,220,095.91/552,157.84
  6. Step 6: Final answer
    x = 322,489.71

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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.