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Finding the Fourth Proportional to 270,980.64, 406,353.24 and 144,592.68

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Solution

The fourth proportional to 270,980.64, 406,353.24 and 144,592.68 is: 216,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,980.64 : 406,353.24 = 144,592.68 : x
  2. Step 2: Convert to fraction form
    270,980.64/406,353.24 = 144,592.68/x
  3. Step 3: Cross multiply
    270,980.64x = 406,353.24 × 144,592.68
  4. Step 4: Simplify right side
    270,980.64x = 58,755,703,998.28
  5. Step 5: Solve for x
    x = 58,755,703,998.28/270,980.64
  6. Step 6: Final answer
    x = 216,826.21

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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.