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Finding the Fourth Proportional to 255,646.40, 383,469.60 and 180,996.80

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Solution

The fourth proportional to 255,646.40, 383,469.60 and 180,996.80 is: 271,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,646.40 : 383,469.60 = 180,996.80 : x
  2. Step 2: Convert to fraction form
    255,646.40/383,469.60 = 180,996.80/x
  3. Step 3: Cross multiply
    255,646.40x = 383,469.60 × 180,996.80
  4. Step 4: Simplify right side
    255,646.40x = 69,406,770,497.28
  5. Step 5: Solve for x
    x = 69,406,770,497.28/255,646.40
  6. Step 6: Final answer
    x = 271,495.20

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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.