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Finding the Fourth Proportional to 343,099.38, 472,420.49 and 304,792.26

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Solution

The fourth proportional to 343,099.38, 472,420.49 and 304,792.26 is: 419,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,099.38 : 472,420.49 = 304,792.26 : x
  2. Step 2: Convert to fraction form
    343,099.38/472,420.49 = 304,792.26/x
  3. Step 3: Cross multiply
    343,099.38x = 472,420.49 × 304,792.26
  4. Step 4: Simplify right side
    343,099.38x = 143,990,108,817.41
  5. Step 5: Solve for x
    x = 143,990,108,817.41/343,099.38
  6. Step 6: Final answer
    x = 419,674.64

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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.