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Finding the Fourth Proportional to 256,883.62, 354,570.70 and 149,474.47

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Solution

The fourth proportional to 256,883.62, 354,570.70 and 149,474.47 is: 206,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,883.62 : 354,570.70 = 149,474.47 : x
  2. Step 2: Convert to fraction form
    256,883.62/354,570.70 = 149,474.47/x
  3. Step 3: Cross multiply
    256,883.62x = 354,570.70 × 149,474.47
  4. Step 4: Simplify right side
    256,883.62x = 52,999,267,460.03
  5. Step 5: Solve for x
    x = 52,999,267,460.03/256,883.62
  6. Step 6: Final answer
    x = 206,316.26

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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.