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Finding the Fourth Proportional to 471,460.96, 650,616.09 and 256,602.57

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Solution

The fourth proportional to 471,460.96, 650,616.09 and 256,602.57 is: 354,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,460.96 : 650,616.09 = 256,602.57 : x
  2. Step 2: Convert to fraction form
    471,460.96/650,616.09 = 256,602.57/x
  3. Step 3: Cross multiply
    471,460.96x = 650,616.09 × 256,602.57
  4. Step 4: Simplify right side
    471,460.96x = 166,949,760,777.35
  5. Step 5: Solve for x
    x = 166,949,760,777.35/471,460.96
  6. Step 6: Final answer
    x = 354,111.53

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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.