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Finding the Fourth Proportional to 646,695.75, 892,427.86 and 405,111.57

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Solution

The fourth proportional to 646,695.75, 892,427.86 and 405,111.57 is: 559,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,695.75 : 892,427.86 = 405,111.57 : x
  2. Step 2: Convert to fraction form
    646,695.75/892,427.86 = 405,111.57/x
  3. Step 3: Cross multiply
    646,695.75x = 892,427.86 × 405,111.57
  4. Step 4: Simplify right side
    646,695.75x = 361,532,851,476.34
  5. Step 5: Solve for x
    x = 361,532,851,476.34/646,695.75
  6. Step 6: Final answer
    x = 559,046.28

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Why These Related Problems?

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