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Finding the Fourth Proportional to 386,829.36, 533,677.68 and 285,097.68

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Solution

The fourth proportional to 386,829.36, 533,677.68 and 285,097.68 is: 393,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,829.36 : 533,677.68 = 285,097.68 : x
  2. Step 2: Convert to fraction form
    386,829.36/533,677.68 = 285,097.68/x
  3. Step 3: Cross multiply
    386,829.36x = 533,677.68 × 285,097.68
  4. Step 4: Simplify right side
    386,829.36x = 152,150,268,435.78
  5. Step 5: Solve for x
    x = 152,150,268,435.78/386,829.36
  6. Step 6: Final answer
    x = 393,326.58

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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.