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Finding the Fourth Proportional to 763,615.82, 1,053,727.10 and 419,433.97

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Solution

The fourth proportional to 763,615.82, 1,053,727.10 and 419,433.97 is: 578,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,615.82 : 1,053,727.10 = 419,433.97 : x
  2. Step 2: Convert to fraction form
    763,615.82/1,053,727.10 = 419,433.97/x
  3. Step 3: Cross multiply
    763,615.82x = 1,053,727.10 × 419,433.97
  4. Step 4: Simplify right side
    763,615.82x = 441,968,935,814.74
  5. Step 5: Solve for x
    x = 441,968,935,814.74/763,615.82
  6. Step 6: Final answer
    x = 578,784.41

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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.