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Finding the Fourth Proportional to 469,972.26, 646,922.52 and 405,645.48

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Solution

The fourth proportional to 469,972.26, 646,922.52 and 405,645.48 is: 558,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,972.26 : 646,922.52 = 405,645.48 : x
  2. Step 2: Convert to fraction form
    469,972.26/646,922.52 = 405,645.48/x
  3. Step 3: Cross multiply
    469,972.26x = 646,922.52 × 405,645.48
  4. Step 4: Simplify right side
    469,972.26x = 262,421,196,148.21
  5. Step 5: Solve for x
    x = 262,421,196,148.21/469,972.26
  6. Step 6: Final answer
    x = 558,375.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.