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Finding the Fourth Proportional to 289,656.84, 399,651.39 and 174,844.74

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Solution

The fourth proportional to 289,656.84, 399,651.39 and 174,844.74 is: 241,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,656.84 : 399,651.39 = 174,844.74 : x
  2. Step 2: Convert to fraction form
    289,656.84/399,651.39 = 174,844.74/x
  3. Step 3: Cross multiply
    289,656.84x = 399,651.39 × 174,844.74
  4. Step 4: Simplify right side
    289,656.84x = 69,876,943,375.19
  5. Step 5: Solve for x
    x = 69,876,943,375.19/289,656.84
  6. Step 6: Final answer
    x = 241,240.44

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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.