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Finding the Fourth Proportional to 284,910.40, 427,672.80 and 160,494.40

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Solution

The fourth proportional to 284,910.40, 427,672.80 and 160,494.40 is: 240,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,910.40 : 427,672.80 = 160,494.40 : x
  2. Step 2: Convert to fraction form
    284,910.40/427,672.80 = 160,494.40/x
  3. Step 3: Cross multiply
    284,910.40x = 427,672.80 × 160,494.40
  4. Step 4: Simplify right side
    284,910.40x = 68,639,089,432.32
  5. Step 5: Solve for x
    x = 68,639,089,432.32/284,910.40
  6. Step 6: Final answer
    x = 240,914.65

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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.