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Finding the Fourth Proportional to 461,708.20, 693,123.90 and 293,228.20

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Solution

The fourth proportional to 461,708.20, 693,123.90 and 293,228.20 is: 440,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,708.20 : 693,123.90 = 293,228.20 : x
  2. Step 2: Convert to fraction form
    461,708.20/693,123.90 = 293,228.20/x
  3. Step 3: Cross multiply
    461,708.20x = 693,123.90 × 293,228.20
  4. Step 4: Simplify right side
    461,708.20x = 203,243,473,573.98
  5. Step 5: Solve for x
    x = 203,243,473,573.98/461,708.20
  6. Step 6: Final answer
    x = 440,198.97

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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.