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Finding the Fourth Proportional to 514,387.53, 709,866.18 and 293,620.28

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Solution

The fourth proportional to 514,387.53, 709,866.18 and 293,620.28 is: 405,202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,387.53 : 709,866.18 = 293,620.28 : x
  2. Step 2: Convert to fraction form
    514,387.53/709,866.18 = 293,620.28/x
  3. Step 3: Cross multiply
    514,387.53x = 709,866.18 × 293,620.28
  4. Step 4: Simplify right side
    514,387.53x = 208,431,102,984.80
  5. Step 5: Solve for x
    x = 208,431,102,984.80/514,387.53
  6. Step 6: Final answer
    x = 405,202.48

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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.