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Finding the Fourth Proportional to 417,585.69, 576,134.26 and 233,797.18

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Solution

The fourth proportional to 417,585.69, 576,134.26 and 233,797.18 is: 322,565.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,585.69 : 576,134.26 = 233,797.18 : x
  2. Step 2: Convert to fraction form
    417,585.69/576,134.26 = 233,797.18/x
  3. Step 3: Cross multiply
    417,585.69x = 576,134.26 × 233,797.18
  4. Step 4: Simplify right side
    417,585.69x = 134,698,564,120.40
  5. Step 5: Solve for x
    x = 134,698,564,120.40/417,585.69
  6. Step 6: Final answer
    x = 322,565.09

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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.