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Finding the Fourth Proportional to 256,217.40, 383,807.70 and 177,420.60

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Solution

The fourth proportional to 256,217.40, 383,807.70 and 177,420.60 is: 265,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,217.40 : 383,807.70 = 177,420.60 : x
  2. Step 2: Convert to fraction form
    256,217.40/383,807.70 = 177,420.60/x
  3. Step 3: Cross multiply
    256,217.40x = 383,807.70 × 177,420.60
  4. Step 4: Simplify right side
    256,217.40x = 68,095,392,418.62
  5. Step 5: Solve for x
    x = 68,095,392,418.62/256,217.40
  6. Step 6: Final answer
    x = 265,771.93

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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.