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Finding the Fourth Proportional to 343,378.59, 473,853.65 and 190,414.34

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Solution

The fourth proportional to 343,378.59, 473,853.65 and 190,414.34 is: 262,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,378.59 : 473,853.65 = 190,414.34 : x
  2. Step 2: Convert to fraction form
    343,378.59/473,853.65 = 190,414.34/x
  3. Step 3: Cross multiply
    343,378.59x = 473,853.65 × 190,414.34
  4. Step 4: Simplify right side
    343,378.59x = 90,228,531,142.38
  5. Step 5: Solve for x
    x = 90,228,531,142.38/343,378.59
  6. Step 6: Final answer
    x = 262,766.91

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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.