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Finding the Fourth Proportional to 314,001.82, 433,318.43 and 170,758.78

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Solution

The fourth proportional to 314,001.82, 433,318.43 and 170,758.78 is: 235,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,001.82 : 433,318.43 = 170,758.78 : x
  2. Step 2: Convert to fraction form
    314,001.82/433,318.43 = 170,758.78/x
  3. Step 3: Cross multiply
    314,001.82x = 433,318.43 × 170,758.78
  4. Step 4: Simplify right side
    314,001.82x = 73,992,926,687.82
  5. Step 5: Solve for x
    x = 73,992,926,687.82/314,001.82
  6. Step 6: Final answer
    x = 235,644.90

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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.