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Finding the Fourth Proportional to 763,536.22, 1,053,692.67 and 419,403.97

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Solution

The fourth proportional to 763,536.22, 1,053,692.67 and 419,403.97 is: 578,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,536.22 : 1,053,692.67 = 419,403.97 : x
  2. Step 2: Convert to fraction form
    763,536.22/1,053,692.67 = 419,403.97/x
  3. Step 3: Cross multiply
    763,536.22x = 1,053,692.67 × 419,403.97
  4. Step 4: Simplify right side
    763,536.22x = 441,922,888,957.90
  5. Step 5: Solve for x
    x = 441,922,888,957.90/763,536.22
  6. Step 6: Final answer
    x = 578,784.45

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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.