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Finding the Fourth Proportional to 314,286.56, 433,707.06 and 171,043.52

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Solution

The fourth proportional to 314,286.56, 433,707.06 and 171,043.52 is: 236,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,286.56 : 433,707.06 = 171,043.52 : x
  2. Step 2: Convert to fraction form
    314,286.56/433,707.06 = 171,043.52/x
  3. Step 3: Cross multiply
    314,286.56x = 433,707.06 × 171,043.52
  4. Step 4: Simplify right side
    314,286.56x = 74,182,782,191.25
  5. Step 5: Solve for x
    x = 74,182,782,191.25/314,286.56
  6. Step 6: Final answer
    x = 236,035.49

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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.