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Finding the Fourth Proportional to 684,786.84, 945,308.54 and 409,241.94

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Solution

The fourth proportional to 684,786.84, 945,308.54 and 409,241.94 is: 564,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,786.84 : 945,308.54 = 409,241.94 : x
  2. Step 2: Convert to fraction form
    684,786.84/945,308.54 = 409,241.94/x
  3. Step 3: Cross multiply
    684,786.84x = 945,308.54 × 409,241.94
  4. Step 4: Simplify right side
    684,786.84x = 386,859,898,761.96
  5. Step 5: Solve for x
    x = 386,859,898,761.96/684,786.84
  6. Step 6: Final answer
    x = 564,934.77

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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.