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Finding the Fourth Proportional to 256,077.44, 353,538.24 and 184,641.92

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Solution

The fourth proportional to 256,077.44, 353,538.24 and 184,641.92 is: 254,915.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,077.44 : 353,538.24 = 184,641.92 : x
  2. Step 2: Convert to fraction form
    256,077.44/353,538.24 = 184,641.92/x
  3. Step 3: Cross multiply
    256,077.44x = 353,538.24 × 184,641.92
  4. Step 4: Simplify right side
    256,077.44x = 65,277,979,427.02
  5. Step 5: Solve for x
    x = 65,277,979,427.02/256,077.44
  6. Step 6: Final answer
    x = 254,915.00

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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.