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Finding the Fourth Proportional to 314,774.50, 434,388.14 and 171,534.20

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Solution

The fourth proportional to 314,774.50, 434,388.14 and 171,534.20 is: 236,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,774.50 : 434,388.14 = 171,534.20 : x
  2. Step 2: Convert to fraction form
    314,774.50/434,388.14 = 171,534.20/x
  3. Step 3: Cross multiply
    314,774.50x = 434,388.14 × 171,534.20
  4. Step 4: Simplify right side
    314,774.50x = 74,512,422,084.39
  5. Step 5: Solve for x
    x = 74,512,422,084.39/314,774.50
  6. Step 6: Final answer
    x = 236,716.83

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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.