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Finding the Fourth Proportional to 270,396, 405,595.08 and 73,404

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Solution

The fourth proportional to 270,396, 405,595.08 and 73,404 is: 110,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,396 : 405,595.08 = 73,404 : x
  2. Step 2: Convert to fraction form
    270,396/405,595.08 = 73,404/x
  3. Step 3: Cross multiply
    270,396x = 405,595.08 × 73,404
  4. Step 4: Simplify right side
    270,396x = 29,772,301,252.32
  5. Step 5: Solve for x
    x = 29,772,301,252.32/270,396
  6. Step 6: Final answer
    x = 110,106.29

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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.