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Finding the Fourth Proportional to 514,622.88, 710,171.28 and 288,267.68

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Solution

The fourth proportional to 514,622.88, 710,171.28 and 288,267.68 is: 397,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,622.88 : 710,171.28 = 288,267.68 : x
  2. Step 2: Convert to fraction form
    514,622.88/710,171.28 = 288,267.68/x
  3. Step 3: Cross multiply
    514,622.88x = 710,171.28 × 288,267.68
  4. Step 4: Simplify right side
    514,622.88x = 204,719,427,288.23
  5. Step 5: Solve for x
    x = 204,719,427,288.23/514,622.88
  6. Step 6: Final answer
    x = 397,804.75

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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.