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Finding the Fourth Proportional to 596,797.73, 822,011.97 and 458,712.58

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Solution

The fourth proportional to 596,797.73, 822,011.97 and 458,712.58 is: 631,817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,797.73 : 822,011.97 = 458,712.58 : x
  2. Step 2: Convert to fraction form
    596,797.73/822,011.97 = 458,712.58/x
  3. Step 3: Cross multiply
    596,797.73x = 822,011.97 × 458,712.58
  4. Step 4: Simplify right side
    596,797.73x = 377,067,227,439.52
  5. Step 5: Solve for x
    x = 377,067,227,439.52/596,797.73
  6. Step 6: Final answer
    x = 631,817.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.