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Finding the Fourth Proportional to 256,653.90, 354,015.50 and 164,627.54

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Solution

The fourth proportional to 256,653.90, 354,015.50 and 164,627.54 is: 227,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,653.90 : 354,015.50 = 164,627.54 : x
  2. Step 2: Convert to fraction form
    256,653.90/354,015.50 = 164,627.54/x
  3. Step 3: Cross multiply
    256,653.90x = 354,015.50 × 164,627.54
  4. Step 4: Simplify right side
    256,653.90x = 58,280,700,886.87
  5. Step 5: Solve for x
    x = 58,280,700,886.87/256,653.90
  6. Step 6: Final answer
    x = 227,078.96

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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.