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Finding the Fourth Proportional to 287,785.20, 431,431.67 and 110,419.50

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Solution

The fourth proportional to 287,785.20, 431,431.67 and 110,419.50 is: 165,534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,785.20 : 431,431.67 = 110,419.50 : x
  2. Step 2: Convert to fraction form
    287,785.20/431,431.67 = 110,419.50/x
  3. Step 3: Cross multiply
    287,785.20x = 431,431.67 × 110,419.50
  4. Step 4: Simplify right side
    287,785.20x = 47,638,468,733.47
  5. Step 5: Solve for x
    x = 47,638,468,733.47/287,785.20
  6. Step 6: Final answer
    x = 165,534.81

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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.