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Finding the Fourth Proportional to 410,177.17, 565,959.85 and 235,713.57

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Solution

The fourth proportional to 410,177.17, 565,959.85 and 235,713.57 is: 325,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,177.17 : 565,959.85 = 235,713.57 : x
  2. Step 2: Convert to fraction form
    410,177.17/565,959.85 = 235,713.57/x
  3. Step 3: Cross multiply
    410,177.17x = 565,959.85 × 235,713.57
  4. Step 4: Simplify right side
    410,177.17x = 133,404,416,720.17
  5. Step 5: Solve for x
    x = 133,404,416,720.17/410,177.17
  6. Step 6: Final answer
    x = 325,236.08

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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.