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Finding the Fourth Proportional to 343,211.56, 473,649.37 and 197,963.30

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Solution

The fourth proportional to 343,211.56, 473,649.37 and 197,963.30 is: 273,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,211.56 : 473,649.37 = 197,963.30 : x
  2. Step 2: Convert to fraction form
    343,211.56/473,649.37 = 197,963.30/x
  3. Step 3: Cross multiply
    343,211.56x = 473,649.37 × 197,963.30
  4. Step 4: Simplify right side
    343,211.56x = 93,765,193,017.34
  5. Step 5: Solve for x
    x = 93,765,193,017.34/343,211.56
  6. Step 6: Final answer
    x = 273,199.40

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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.