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Finding the Fourth Proportional to 310,297.06, 428,228.19 and 233,680.98

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Solution

The fourth proportional to 310,297.06, 428,228.19 and 233,680.98 is: 322,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,297.06 : 428,228.19 = 233,680.98 : x
  2. Step 2: Convert to fraction form
    310,297.06/428,228.19 = 233,680.98/x
  3. Step 3: Cross multiply
    310,297.06x = 428,228.19 × 233,680.98
  4. Step 4: Simplify right side
    310,297.06x = 100,068,783,102.83
  5. Step 5: Solve for x
    x = 100,068,783,102.83/310,297.06
  6. Step 6: Final answer
    x = 322,493.50

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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.