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Finding the Fourth Proportional to 428,616.49, 643,067.66 and 285,088.15

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Solution

The fourth proportional to 428,616.49, 643,067.66 and 285,088.15 is: 427,727.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,616.49 : 643,067.66 = 285,088.15 : x
  2. Step 2: Convert to fraction form
    428,616.49/643,067.66 = 285,088.15/x
  3. Step 3: Cross multiply
    428,616.49x = 643,067.66 × 285,088.15
  4. Step 4: Simplify right side
    428,616.49x = 183,330,966,940.31
  5. Step 5: Solve for x
    x = 183,330,966,940.31/428,616.49
  6. Step 6: Final answer
    x = 427,727.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.