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Finding the Fourth Proportional to 270,402.04, 405,317.04 and 101,849.44

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Solution

The fourth proportional to 270,402.04, 405,317.04 and 101,849.44 is: 152,666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,402.04 : 405,317.04 = 101,849.44 : x
  2. Step 2: Convert to fraction form
    270,402.04/405,317.04 = 101,849.44/x
  3. Step 3: Cross multiply
    270,402.04x = 405,317.04 × 101,849.44
  4. Step 4: Simplify right side
    270,402.04x = 41,281,313,546.46
  5. Step 5: Solve for x
    x = 41,281,313,546.46/270,402.04
  6. Step 6: Final answer
    x = 152,666.43

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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.