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Finding the Fourth Proportional to 314,334.04, 471,489.44 and 136,841.44

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Solution

The fourth proportional to 314,334.04, 471,489.44 and 136,841.44 is: 205,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,334.04 : 471,489.44 = 136,841.44 : x
  2. Step 2: Convert to fraction form
    314,334.04/471,489.44 = 136,841.44/x
  3. Step 3: Cross multiply
    314,334.04x = 471,489.44 × 136,841.44
  4. Step 4: Simplify right side
    314,334.04x = 64,519,293,914.39
  5. Step 5: Solve for x
    x = 64,519,293,914.39/314,334.04
  6. Step 6: Final answer
    x = 205,257.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.