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Finding the Fourth Proportional to 270,468.40, 406,048.20 and 144,209.20

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Solution

The fourth proportional to 270,468.40, 406,048.20 and 144,209.20 is: 216,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,468.40 : 406,048.20 = 144,209.20 : x
  2. Step 2: Convert to fraction form
    270,468.40/406,048.20 = 144,209.20/x
  3. Step 3: Cross multiply
    270,468.40x = 406,048.20 × 144,209.20
  4. Step 4: Simplify right side
    270,468.40x = 58,555,886,083.44
  5. Step 5: Solve for x
    x = 58,555,886,083.44/270,468.40
  6. Step 6: Final answer
    x = 216,498.07

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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.