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Finding the Fourth Proportional to 462,807.91, 691,136.33 and 457,797.97

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Solution

The fourth proportional to 462,807.91, 691,136.33 and 457,797.97 is: 683,654.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,807.91 : 691,136.33 = 457,797.97 : x
  2. Step 2: Convert to fraction form
    462,807.91/691,136.33 = 457,797.97/x
  3. Step 3: Cross multiply
    462,807.91x = 691,136.33 × 457,797.97
  4. Step 4: Simplify right side
    462,807.91x = 316,400,807,442.18
  5. Step 5: Solve for x
    x = 316,400,807,442.18/462,807.91
  6. Step 6: Final answer
    x = 683,654.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.