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Finding the Fourth Proportional to 270,715.60, 406,073.40 and 165,739.60

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Solution

The fourth proportional to 270,715.60, 406,073.40 and 165,739.60 is: 248,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,715.60 : 406,073.40 = 165,739.60 : x
  2. Step 2: Convert to fraction form
    270,715.60/406,073.40 = 165,739.60/x
  3. Step 3: Cross multiply
    270,715.60x = 406,073.40 × 165,739.60
  4. Step 4: Simplify right side
    270,715.60x = 67,302,442,886.64
  5. Step 5: Solve for x
    x = 67,302,442,886.64/270,715.60
  6. Step 6: Final answer
    x = 248,609.40

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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.