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Finding the Fourth Proportional to 343,463.23, 514,544.57 and 229,266.71

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Solution

The fourth proportional to 343,463.23, 514,544.57 and 229,266.71 is: 343,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,463.23 : 514,544.57 = 229,266.71 : x
  2. Step 2: Convert to fraction form
    343,463.23/514,544.57 = 229,266.71/x
  3. Step 3: Cross multiply
    343,463.23x = 514,544.57 × 229,266.71
  4. Step 4: Simplify right side
    343,463.23x = 117,967,936,993.21
  5. Step 5: Solve for x
    x = 117,967,936,993.21/343,463.23
  6. Step 6: Final answer
    x = 343,465.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.