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Finding the Fourth Proportional to 384,084.36, 530,286.08 and 343,728.74

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Solution

The fourth proportional to 384,084.36, 530,286.08 and 343,728.74 is: 474,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,084.36 : 530,286.08 = 343,728.74 : x
  2. Step 2: Convert to fraction form
    384,084.36/530,286.08 = 343,728.74/x
  3. Step 3: Cross multiply
    384,084.36x = 530,286.08 × 343,728.74
  4. Step 4: Simplify right side
    384,084.36x = 182,274,566,117.94
  5. Step 5: Solve for x
    x = 182,274,566,117.94/384,084.36
  6. Step 6: Final answer
    x = 474,569.09

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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.