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Finding the Fourth Proportional to 471,704.58, 650,946.65 and 256,844.58

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Solution

The fourth proportional to 471,704.58, 650,946.65 and 256,844.58 is: 354,442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,704.58 : 650,946.65 = 256,844.58 : x
  2. Step 2: Convert to fraction form
    471,704.58/650,946.65 = 256,844.58/x
  3. Step 3: Cross multiply
    471,704.58x = 650,946.65 × 256,844.58
  4. Step 4: Simplify right side
    471,704.58x = 167,192,118,921.66
  5. Step 5: Solve for x
    x = 167,192,118,921.66/471,704.58
  6. Step 6: Final answer
    x = 354,442.43

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1.5x scale

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.