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Finding the Fourth Proportional to 807,005.87, 1,113,625.44 and 462,824

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Solution

The fourth proportional to 807,005.87, 1,113,625.44 and 462,824 is: 638,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,005.87 : 1,113,625.44 = 462,824 : x
  2. Step 2: Convert to fraction form
    807,005.87/1,113,625.44 = 462,824/x
  3. Step 3: Cross multiply
    807,005.87x = 1,113,625.44 × 462,824
  4. Step 4: Simplify right side
    807,005.87x = 515,412,580,642.56
  5. Step 5: Solve for x
    x = 515,412,580,642.56/807,005.87
  6. Step 6: Final answer
    x = 638,672.65

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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.