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Finding the Fourth Proportional to 517,591, 714,286.52 and 291,236.50

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Solution

The fourth proportional to 517,591, 714,286.52 and 291,236.50 is: 401,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,591 : 714,286.52 = 291,236.50 : x
  2. Step 2: Convert to fraction form
    517,591/714,286.52 = 291,236.50/x
  3. Step 3: Cross multiply
    517,591x = 714,286.52 × 291,236.50
  4. Step 4: Simplify right side
    517,591x = 208,026,306,081.98
  5. Step 5: Solve for x
    x = 208,026,306,081.98/517,591
  6. Step 6: Final answer
    x = 401,912.53

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1.5x scale

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.