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Finding the Fourth Proportional to 270,953.60, 406,430.40 and 165,891.20

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Solution

The fourth proportional to 270,953.60, 406,430.40 and 165,891.20 is: 248,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,953.60 : 406,430.40 = 165,891.20 : x
  2. Step 2: Convert to fraction form
    270,953.60/406,430.40 = 165,891.20/x
  3. Step 3: Cross multiply
    270,953.60x = 406,430.40 × 165,891.20
  4. Step 4: Simplify right side
    270,953.60x = 67,423,226,772.48
  5. Step 5: Solve for x
    x = 67,423,226,772.48/270,953.60
  6. Step 6: Final answer
    x = 248,836.80

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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.