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Finding the Fourth Proportional to 295,464.84, 407,736.12 and 168,137.64

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Solution

The fourth proportional to 295,464.84, 407,736.12 and 168,137.64 is: 232,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,464.84 : 407,736.12 = 168,137.64 : x
  2. Step 2: Convert to fraction form
    295,464.84/407,736.12 = 168,137.64/x
  3. Step 3: Cross multiply
    295,464.84x = 407,736.12 × 168,137.64
  4. Step 4: Simplify right side
    295,464.84x = 68,555,788,959.56
  5. Step 5: Solve for x
    x = 68,555,788,959.56/295,464.84
  6. Step 6: Final answer
    x = 232,026.89

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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.