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Finding the Fourth Proportional to 314,236.62, 433,642.30 and 170,996.33

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Solution

The fourth proportional to 314,236.62, 433,642.30 and 170,996.33 is: 235,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,236.62 : 433,642.30 = 170,996.33 : x
  2. Step 2: Convert to fraction form
    314,236.62/433,642.30 = 170,996.33/x
  3. Step 3: Cross multiply
    314,236.62x = 433,642.30 × 170,996.33
  4. Step 4: Simplify right side
    314,236.62x = 74,151,242,489.37
  5. Step 5: Solve for x
    x = 74,151,242,489.37/314,236.62
  6. Step 6: Final answer
    x = 235,972.63

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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.