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Finding the Fourth Proportional to 314,414.88, 433,900.34 and 171,182.78

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Solution

The fourth proportional to 314,414.88, 433,900.34 and 171,182.78 is: 236,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,414.88 : 433,900.34 = 171,182.78 : x
  2. Step 2: Convert to fraction form
    314,414.88/433,900.34 = 171,182.78/x
  3. Step 3: Cross multiply
    314,414.88x = 433,900.34 × 171,182.78
  4. Step 4: Simplify right side
    314,414.88x = 74,276,266,444.15
  5. Step 5: Solve for x
    x = 74,276,266,444.15/314,414.88
  6. Step 6: Final answer
    x = 236,236.49

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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.