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Finding the Fourth Proportional to 417,584.14, 576,258.12 and 236,292.77

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Solution

The fourth proportional to 417,584.14, 576,258.12 and 236,292.77 is: 326,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,584.14 : 576,258.12 = 236,292.77 : x
  2. Step 2: Convert to fraction form
    417,584.14/576,258.12 = 236,292.77/x
  3. Step 3: Cross multiply
    417,584.14x = 576,258.12 × 236,292.77
  4. Step 4: Simplify right side
    417,584.14x = 136,165,627,409.79
  5. Step 5: Solve for x
    x = 136,165,627,409.79/417,584.14
  6. Step 6: Final answer
    x = 326,079.50

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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.