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Finding the Fourth Proportional to 293,453, 404,965.14 and 159,317

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Solution

The fourth proportional to 293,453, 404,965.14 and 159,317 is: 219,857.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,453 : 404,965.14 = 159,317 : x
  2. Step 2: Convert to fraction form
    293,453/404,965.14 = 159,317/x
  3. Step 3: Cross multiply
    293,453x = 404,965.14 × 159,317
  4. Step 4: Simplify right side
    293,453x = 64,517,831,209.38
  5. Step 5: Solve for x
    x = 64,517,831,209.38/293,453
  6. Step 6: Final answer
    x = 219,857.46

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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.