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Finding the Fourth Proportional to 270,695.60, 406,043.40 and 165,719.60

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Solution

The fourth proportional to 270,695.60, 406,043.40 and 165,719.60 is: 248,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,695.60 : 406,043.40 = 165,719.60 : x
  2. Step 2: Convert to fraction form
    270,695.60/406,043.40 = 165,719.60/x
  3. Step 3: Cross multiply
    270,695.60x = 406,043.40 × 165,719.60
  4. Step 4: Simplify right side
    270,695.60x = 67,289,349,830.64
  5. Step 5: Solve for x
    x = 67,289,349,830.64/270,695.60
  6. Step 6: Final answer
    x = 248,579.40

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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.