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Finding the Fourth Proportional to 287,214.68, 430,789.19 and 76,869.02

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Solution

The fourth proportional to 287,214.68, 430,789.19 and 76,869.02 is: 115,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,214.68 : 430,789.19 = 76,869.02 : x
  2. Step 2: Convert to fraction form
    287,214.68/430,789.19 = 76,869.02/x
  3. Step 3: Cross multiply
    287,214.68x = 430,789.19 × 76,869.02
  4. Step 4: Simplify right side
    287,214.68x = 33,114,340,323.60
  5. Step 5: Solve for x
    x = 33,114,340,323.60/287,214.68
  6. Step 6: Final answer
    x = 115,294.74

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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.