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Finding the Fourth Proportional to 457,682.30, 686,523.45 and 414,136.70

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Solution

The fourth proportional to 457,682.30, 686,523.45 and 414,136.70 is: 621,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,682.30 : 686,523.45 = 414,136.70 : x
  2. Step 2: Convert to fraction form
    457,682.30/686,523.45 = 414,136.70/x
  3. Step 3: Cross multiply
    457,682.30x = 686,523.45 × 414,136.70
  4. Step 4: Simplify right side
    457,682.30x = 284,314,556,055.62
  5. Step 5: Solve for x
    x = 284,314,556,055.62/457,682.30
  6. Step 6: Final answer
    x = 621,205.05

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Similar ratio
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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.