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Finding the Fourth Proportional to 514,048.70, 709,387.11 and 287,694.20

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Solution

The fourth proportional to 514,048.70, 709,387.11 and 287,694.20 is: 397,017.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,048.70 : 709,387.11 = 287,694.20 : x
  2. Step 2: Convert to fraction form
    514,048.70/709,387.11 = 287,694.20/x
  3. Step 3: Cross multiply
    514,048.70x = 709,387.11 × 287,694.20
  4. Step 4: Simplify right side
    514,048.70x = 204,086,553,554.83
  5. Step 5: Solve for x
    x = 204,086,553,554.83/514,048.70
  6. Step 6: Final answer
    x = 397,017.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.