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Finding the Fourth Proportional to 297,447.45, 410,325.44 and 189,904.47

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Solution

The fourth proportional to 297,447.45, 410,325.44 and 189,904.47 is: 261,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,447.45 : 410,325.44 = 189,904.47 : x
  2. Step 2: Convert to fraction form
    297,447.45/410,325.44 = 189,904.47/x
  3. Step 3: Cross multiply
    297,447.45x = 410,325.44 × 189,904.47
  4. Step 4: Simplify right side
    297,447.45x = 77,922,634,261.19
  5. Step 5: Solve for x
    x = 77,922,634,261.19/297,447.45
  6. Step 6: Final answer
    x = 261,971.10

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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.