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Finding the Fourth Proportional to 471,614.90, 650,824.65 and 256,754.52

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Solution

The fourth proportional to 471,614.90, 650,824.65 and 256,754.52 is: 354,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,614.90 : 650,824.65 = 256,754.52 : x
  2. Step 2: Convert to fraction form
    471,614.90/650,824.65 = 256,754.52/x
  3. Step 3: Cross multiply
    471,614.90x = 650,824.65 × 256,754.52
  4. Step 4: Simplify right side
    471,614.90x = 167,102,170,614.92
  5. Step 5: Solve for x
    x = 167,102,170,614.92/471,614.90
  6. Step 6: Final answer
    x = 354,319.11

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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.