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Finding the Fourth Proportional to 314,165.52, 433,538.40 and 170,921.88

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Solution

The fourth proportional to 314,165.52, 433,538.40 and 170,921.88 is: 235,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,165.52 : 433,538.40 = 170,921.88 : x
  2. Step 2: Convert to fraction form
    314,165.52/433,538.40 = 170,921.88/x
  3. Step 3: Cross multiply
    314,165.52x = 433,538.40 × 170,921.88
  4. Step 4: Simplify right side
    314,165.52x = 74,101,198,380.19
  5. Step 5: Solve for x
    x = 74,101,198,380.19/314,165.52
  6. Step 6: Final answer
    x = 235,866.74

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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.