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Finding the Fourth Proportional to 343,474.68, 473,971.32 and 190,498.44

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Solution

The fourth proportional to 343,474.68, 473,971.32 and 190,498.44 is: 262,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,474.68 : 473,971.32 = 190,498.44 : x
  2. Step 2: Convert to fraction form
    343,474.68/473,971.32 = 190,498.44/x
  3. Step 3: Cross multiply
    343,474.68x = 473,971.32 × 190,498.44
  4. Step 4: Simplify right side
    343,474.68x = 90,290,797,064.74
  5. Step 5: Solve for x
    x = 90,290,797,064.74/343,474.68
  6. Step 6: Final answer
    x = 262,874.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.