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Finding the Fourth Proportional to 270,938.60, 405,630.30 and 165,962.60

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Solution

The fourth proportional to 270,938.60, 405,630.30 and 165,962.60 is: 248,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,938.60 : 405,630.30 = 165,962.60 : x
  2. Step 2: Convert to fraction form
    270,938.60/405,630.30 = 165,962.60/x
  3. Step 3: Cross multiply
    270,938.60x = 405,630.30 × 165,962.60
  4. Step 4: Simplify right side
    270,938.60x = 67,319,459,226.78
  5. Step 5: Solve for x
    x = 67,319,459,226.78/270,938.60
  6. Step 6: Final answer
    x = 248,467.58

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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.