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Finding the Fourth Proportional to 337,634.83, 465,950.98 and 194,441.01

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Solution

The fourth proportional to 337,634.83, 465,950.98 and 194,441.01 is: 268,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,634.83 : 465,950.98 = 194,441.01 : x
  2. Step 2: Convert to fraction form
    337,634.83/465,950.98 = 194,441.01/x
  3. Step 3: Cross multiply
    337,634.83x = 465,950.98 × 194,441.01
  4. Step 4: Simplify right side
    337,634.83x = 90,599,977,657.42
  5. Step 5: Solve for x
    x = 90,599,977,657.42/337,634.83
  6. Step 6: Final answer
    x = 268,337.18

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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.