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Finding the Fourth Proportional to 514,076.20, 709,425.06 and 287,721.70

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Solution

The fourth proportional to 514,076.20, 709,425.06 and 287,721.70 is: 397,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,076.20 : 709,425.06 = 287,721.70 : x
  2. Step 2: Convert to fraction form
    514,076.20/709,425.06 = 287,721.70/x
  3. Step 3: Cross multiply
    514,076.20x = 709,425.06 × 287,721.70
  4. Step 4: Simplify right side
    514,076.20x = 204,116,984,285.80
  5. Step 5: Solve for x
    x = 204,116,984,285.80/514,076.20
  6. Step 6: Final answer
    x = 397,055.89

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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.