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Finding the Fourth Proportional to 405,168.24, 607,857.96 and 227,806.32

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Solution

The fourth proportional to 405,168.24, 607,857.96 and 227,806.32 is: 341,768.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,168.24 : 607,857.96 = 227,806.32 : x
  2. Step 2: Convert to fraction form
    405,168.24/607,857.96 = 227,806.32/x
  3. Step 3: Cross multiply
    405,168.24x = 607,857.96 × 227,806.32
  4. Step 4: Simplify right side
    405,168.24x = 138,473,884,950.31
  5. Step 5: Solve for x
    x = 138,473,884,950.31/405,168.24
  6. Step 6: Final answer
    x = 341,768.85

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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.