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Finding the Fourth Proportional to 256,829.70, 385,244.55 and 172,848.90

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Solution

The fourth proportional to 256,829.70, 385,244.55 and 172,848.90 is: 259,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,829.70 : 385,244.55 = 172,848.90 : x
  2. Step 2: Convert to fraction form
    256,829.70/385,244.55 = 172,848.90/x
  3. Step 3: Cross multiply
    256,829.70x = 385,244.55 × 172,848.90
  4. Step 4: Simplify right side
    256,829.70x = 66,589,096,698.50
  5. Step 5: Solve for x
    x = 66,589,096,698.50/256,829.70
  6. Step 6: Final answer
    x = 259,273.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.