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Finding the Fourth Proportional to 414,002.15, 621,003.23 and 414,002.15

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Solution

The fourth proportional to 414,002.15, 621,003.23 and 414,002.15 is: 621,003.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,002.15 : 621,003.23 = 414,002.15 : x
  2. Step 2: Convert to fraction form
    414,002.15/621,003.23 = 414,002.15/x
  3. Step 3: Cross multiply
    414,002.15x = 621,003.23 × 414,002.15
  4. Step 4: Simplify right side
    414,002.15x = 257,096,670,306.93
  5. Step 5: Solve for x
    x = 257,096,670,306.93/414,002.15
  6. Step 6: Final answer
    x = 621,003.23

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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.