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Finding the Fourth Proportional to 471,614.76, 650,841.99 and 256,758.48

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Solution

The fourth proportional to 471,614.76, 650,841.99 and 256,758.48 is: 354,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,614.76 : 650,841.99 = 256,758.48 : x
  2. Step 2: Convert to fraction form
    471,614.76/650,841.99 = 256,758.48/x
  3. Step 3: Cross multiply
    471,614.76x = 650,841.99 × 256,758.48
  4. Step 4: Simplify right side
    471,614.76x = 167,109,200,072.58
  5. Step 5: Solve for x
    x = 167,109,200,072.58/471,614.76
  6. Step 6: Final answer
    x = 354,334.12

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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.