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Finding the Fourth Proportional to 343,193.22, 473,605.29 and 192,289.86

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Solution

The fourth proportional to 343,193.22, 473,605.29 and 192,289.86 is: 265,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,193.22 : 473,605.29 = 192,289.86 : x
  2. Step 2: Convert to fraction form
    343,193.22/473,605.29 = 192,289.86/x
  3. Step 3: Cross multiply
    343,193.22x = 473,605.29 × 192,289.86
  4. Step 4: Simplify right side
    343,193.22x = 91,069,494,909.36
  5. Step 5: Solve for x
    x = 91,069,494,909.36/343,193.22
  6. Step 6: Final answer
    x = 265,359.25

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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.