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Finding the Fourth Proportional to 314,003.32, 433,320.50 and 170,760.29

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Solution

The fourth proportional to 314,003.32, 433,320.50 and 170,760.29 is: 235,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,003.32 : 433,320.50 = 170,760.29 : x
  2. Step 2: Convert to fraction form
    314,003.32/433,320.50 = 170,760.29/x
  3. Step 3: Cross multiply
    314,003.32x = 433,320.50 × 170,760.29
  4. Step 4: Simplify right side
    314,003.32x = 73,993,931,222.54
  5. Step 5: Solve for x
    x = 73,993,931,222.54/314,003.32
  6. Step 6: Final answer
    x = 235,646.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.