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Finding the Fourth Proportional to 314,896.20, 434,553.94 and 171,656.20

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Solution

The fourth proportional to 314,896.20, 434,553.94 and 171,656.20 is: 236,884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,896.20 : 434,553.94 = 171,656.20 : x
  2. Step 2: Convert to fraction form
    314,896.20/434,553.94 = 171,656.20/x
  3. Step 3: Cross multiply
    314,896.20x = 434,553.94 × 171,656.20
  4. Step 4: Simplify right side
    314,896.20x = 74,593,878,035.43
  5. Step 5: Solve for x
    x = 74,593,878,035.43/314,896.20
  6. Step 6: Final answer
    x = 236,884.02

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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.