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Finding the Fourth Proportional to 233,506.80, 350,286.16 and 100,400.52

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Solution

The fourth proportional to 233,506.80, 350,286.16 and 100,400.52 is: 150,611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,506.80 : 350,286.16 = 100,400.52 : x
  2. Step 2: Convert to fraction form
    233,506.80/350,286.16 = 100,400.52/x
  3. Step 3: Cross multiply
    233,506.80x = 350,286.16 × 100,400.52
  4. Step 4: Simplify right side
    233,506.80x = 35,168,912,612.80
  5. Step 5: Solve for x
    x = 35,168,912,612.80/233,506.80
  6. Step 6: Final answer
    x = 150,611.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.