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Finding the Fourth Proportional to 681,618.24, 939,894.84 and 463,968

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Solution

The fourth proportional to 681,618.24, 939,894.84 and 463,968 is: 639,773.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,618.24 : 939,894.84 = 463,968 : x
  2. Step 2: Convert to fraction form
    681,618.24/939,894.84 = 463,968/x
  3. Step 3: Cross multiply
    681,618.24x = 939,894.84 × 463,968
  4. Step 4: Simplify right side
    681,618.24x = 436,081,129,125.12
  5. Step 5: Solve for x
    x = 436,081,129,125.12/681,618.24
  6. Step 6: Final answer
    x = 639,773.27

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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.