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Finding the Fourth Proportional to 386,028.24, 532,748.49 and 222,714

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Solution

The fourth proportional to 386,028.24, 532,748.49 and 222,714 is: 307,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,028.24 : 532,748.49 = 222,714 : x
  2. Step 2: Convert to fraction form
    386,028.24/532,748.49 = 222,714/x
  3. Step 3: Cross multiply
    386,028.24x = 532,748.49 × 222,714
  4. Step 4: Simplify right side
    386,028.24x = 118,650,547,201.86
  5. Step 5: Solve for x
    x = 118,650,547,201.86/386,028.24
  6. Step 6: Final answer
    x = 307,362.35

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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.