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Finding the Fourth Proportional to 314,107.72, 433,473.86 and 170,868.54

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Solution

The fourth proportional to 314,107.72, 433,473.86 and 170,868.54 is: 235,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,107.72 : 433,473.86 = 170,868.54 : x
  2. Step 2: Convert to fraction form
    314,107.72/433,473.86 = 170,868.54/x
  3. Step 3: Cross multiply
    314,107.72x = 433,473.86 × 170,868.54
  4. Step 4: Simplify right side
    314,107.72x = 74,067,045,586.36
  5. Step 5: Solve for x
    x = 74,067,045,586.36/314,107.72
  6. Step 6: Final answer
    x = 235,801.42

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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.