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Finding the Fourth Proportional to 270,175.20, 405,263.12 and 70,495.44

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Solution

The fourth proportional to 270,175.20, 405,263.12 and 70,495.44 is: 105,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,175.20 : 405,263.12 = 70,495.44 : x
  2. Step 2: Convert to fraction form
    270,175.20/405,263.12 = 70,495.44/x
  3. Step 3: Cross multiply
    270,175.20x = 405,263.12 × 70,495.44
  4. Step 4: Simplify right side
    270,175.20x = 28,569,201,960.17
  5. Step 5: Solve for x
    x = 28,569,201,960.17/270,175.20
  6. Step 6: Final answer
    x = 105,743.24

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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.