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Finding the Fourth Proportional to 343,472.96, 473,994.34 and 190,500.50

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Solution

The fourth proportional to 343,472.96, 473,994.34 and 190,500.50 is: 262,891.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,472.96 : 473,994.34 = 190,500.50 : x
  2. Step 2: Convert to fraction form
    343,472.96/473,994.34 = 190,500.50/x
  3. Step 3: Cross multiply
    343,472.96x = 473,994.34 × 190,500.50
  4. Step 4: Simplify right side
    343,472.96x = 90,296,158,767.17
  5. Step 5: Solve for x
    x = 90,296,158,767.17/343,472.96
  6. Step 6: Final answer
    x = 262,891.61

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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.