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Finding the Fourth Proportional to 297,047.25, 409,951.13 and 162,937.17

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Solution

The fourth proportional to 297,047.25, 409,951.13 and 162,937.17 is: 224,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,047.25 : 409,951.13 = 162,937.17 : x
  2. Step 2: Convert to fraction form
    297,047.25/409,951.13 = 162,937.17/x
  3. Step 3: Cross multiply
    297,047.25x = 409,951.13 × 162,937.17
  4. Step 4: Simplify right side
    297,047.25x = 66,796,276,145.82
  5. Step 5: Solve for x
    x = 66,796,276,145.82/297,047.25
  6. Step 6: Final answer
    x = 224,867.51

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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.