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Finding the Fourth Proportional to 514,260, 709,679.04 and 287,910.24

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Solution

The fourth proportional to 514,260, 709,679.04 and 287,910.24 is: 397,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,260 : 709,679.04 = 287,910.24 : x
  2. Step 2: Convert to fraction form
    514,260/709,679.04 = 287,910.24/x
  3. Step 3: Cross multiply
    514,260x = 709,679.04 × 287,910.24
  4. Step 4: Simplify right side
    514,260x = 204,323,862,729.37
  5. Step 5: Solve for x
    x = 204,323,862,729.37/514,260
  6. Step 6: Final answer
    x = 397,316.27

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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.