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Finding the Fourth Proportional to 287,272.49, 430,908.27 and 286,856.96

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Solution

The fourth proportional to 287,272.49, 430,908.27 and 286,856.96 is: 430,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,272.49 : 430,908.27 = 286,856.96 : x
  2. Step 2: Convert to fraction form
    287,272.49/430,908.27 = 286,856.96/x
  3. Step 3: Cross multiply
    287,272.49x = 430,908.27 × 286,856.96
  4. Step 4: Simplify right side
    287,272.49x = 123,609,036,371.06
  5. Step 5: Solve for x
    x = 123,609,036,371.06/287,272.49
  6. Step 6: Final answer
    x = 430,284.98

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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.