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Finding the Fourth Proportional to 334,635, 461,625.24 and 213,649.17

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Solution

The fourth proportional to 334,635, 461,625.24 and 213,649.17 is: 294,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,635 : 461,625.24 = 213,649.17 : x
  2. Step 2: Convert to fraction form
    334,635/461,625.24 = 213,649.17/x
  3. Step 3: Cross multiply
    334,635x = 461,625.24 × 213,649.17
  4. Step 4: Simplify right side
    334,635x = 98,625,849,377.05
  5. Step 5: Solve for x
    x = 98,625,849,377.05/334,635
  6. Step 6: Final answer
    x = 294,726.64

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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.