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Finding the Fourth Proportional to 297,029.28, 409,922.13 and 169,702.14

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Solution

The fourth proportional to 297,029.28, 409,922.13 and 169,702.14 is: 234,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,029.28 : 409,922.13 = 169,702.14 : x
  2. Step 2: Convert to fraction form
    297,029.28/409,922.13 = 169,702.14/x
  3. Step 3: Cross multiply
    297,029.28x = 409,922.13 × 169,702.14
  4. Step 4: Simplify right side
    297,029.28x = 69,564,662,694.36
  5. Step 5: Solve for x
    x = 69,564,662,694.36/297,029.28
  6. Step 6: Final answer
    x = 234,201.36

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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.