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Finding the Fourth Proportional to 343,056, 473,410.21 and 190,092.86

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Solution

The fourth proportional to 343,056, 473,410.21 and 190,092.86 is: 262,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,056 : 473,410.21 = 190,092.86 : x
  2. Step 2: Convert to fraction form
    343,056/473,410.21 = 190,092.86/x
  3. Step 3: Cross multiply
    343,056x = 473,410.21 × 190,092.86
  4. Step 4: Simplify right side
    343,056x = 89,991,900,772.10
  5. Step 5: Solve for x
    x = 89,991,900,772.10/343,056
  6. Step 6: Final answer
    x = 262,324.23

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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.