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Finding the Fourth Proportional to 471,714.76, 650,965.93 and 256,856.37

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Solution

The fourth proportional to 471,714.76, 650,965.93 and 256,856.37 is: 354,461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,714.76 : 650,965.93 = 256,856.37 : x
  2. Step 2: Convert to fraction form
    471,714.76/650,965.93 = 256,856.37/x
  3. Step 3: Cross multiply
    471,714.76x = 650,965.93 × 256,856.37
  4. Step 4: Simplify right side
    471,714.76x = 167,204,745,773.47
  5. Step 5: Solve for x
    x = 167,204,745,773.47/471,714.76
  6. Step 6: Final answer
    x = 354,461.55

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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.