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Finding the Fourth Proportional to 384,114.16, 530,304.60 and 276,960.88

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Solution

The fourth proportional to 384,114.16, 530,304.60 and 276,960.88 is: 382,369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,114.16 : 530,304.60 = 276,960.88 : x
  2. Step 2: Convert to fraction form
    384,114.16/530,304.60 = 276,960.88/x
  3. Step 3: Cross multiply
    384,114.16x = 530,304.60 × 276,960.88
  4. Step 4: Simplify right side
    384,114.16x = 146,873,628,684.05
  5. Step 5: Solve for x
    x = 146,873,628,684.05/384,114.16
  6. Step 6: Final answer
    x = 382,369.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.