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Finding the Fourth Proportional to 457,682.10, 686,523.15 and 457,682.10

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Solution

The fourth proportional to 457,682.10, 686,523.15 and 457,682.10 is: 686,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,682.10 : 686,523.15 = 457,682.10 : x
  2. Step 2: Convert to fraction form
    457,682.10/686,523.15 = 457,682.10/x
  3. Step 3: Cross multiply
    457,682.10x = 686,523.15 × 457,682.10
  4. Step 4: Simplify right side
    457,682.10x = 314,209,356,990.62
  5. Step 5: Solve for x
    x = 314,209,356,990.62/457,682.10
  6. Step 6: Final answer
    x = 686,523.15

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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.