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Finding the Fourth Proportional to 416,407.56, 627,205.08 and 387,208.68

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Solution

The fourth proportional to 416,407.56, 627,205.08 and 387,208.68 is: 583,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,407.56 : 627,205.08 = 387,208.68 : x
  2. Step 2: Convert to fraction form
    416,407.56/627,205.08 = 387,208.68/x
  3. Step 3: Cross multiply
    416,407.56x = 627,205.08 × 387,208.68
  4. Step 4: Simplify right side
    416,407.56x = 242,859,251,116.09
  5. Step 5: Solve for x
    x = 242,859,251,116.09/416,407.56
  6. Step 6: Final answer
    x = 583,224.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.