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Finding the Fourth Proportional to 684,786.78, 945,308.44 and 409,241.88

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Solution

The fourth proportional to 684,786.78, 945,308.44 and 409,241.88 is: 564,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,786.78 : 945,308.44 = 409,241.88 : x
  2. Step 2: Convert to fraction form
    684,786.78/945,308.44 = 409,241.88/x
  3. Step 3: Cross multiply
    684,786.78x = 945,308.44 × 409,241.88
  4. Step 4: Simplify right side
    684,786.78x = 386,859,803,165.47
  5. Step 5: Solve for x
    x = 386,859,803,165.47/684,786.78
  6. Step 6: Final answer
    x = 564,934.68

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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.