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Finding the Fourth Proportional to 596,522, 823,882.92 and 405,215.12

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Solution

The fourth proportional to 596,522, 823,882.92 and 405,215.12 is: 559,660.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,522 : 823,882.92 = 405,215.12 : x
  2. Step 2: Convert to fraction form
    596,522/823,882.92 = 405,215.12/x
  3. Step 3: Cross multiply
    596,522x = 823,882.92 × 405,215.12
  4. Step 4: Simplify right side
    596,522x = 333,849,816,293.75
  5. Step 5: Solve for x
    x = 333,849,816,293.75/596,522
  6. Step 6: Final answer
    x = 559,660.53

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