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Finding the Fourth Proportional to 417,184.71, 575,711.40 and 235,932.24

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Solution

The fourth proportional to 417,184.71, 575,711.40 and 235,932.24 is: 325,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,184.71 : 575,711.40 = 235,932.24 : x
  2. Step 2: Convert to fraction form
    417,184.71/575,711.40 = 235,932.24/x
  3. Step 3: Cross multiply
    417,184.71x = 575,711.40 × 235,932.24
  4. Step 4: Simplify right side
    417,184.71x = 135,828,880,195.54
  5. Step 5: Solve for x
    x = 135,828,880,195.54/417,184.71
  6. Step 6: Final answer
    x = 325,584.51

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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.