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Finding the Fourth Proportional to 592,381.66, 816,636.42 and 422,320.54

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Solution

The fourth proportional to 592,381.66, 816,636.42 and 422,320.54 is: 582,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,381.66 : 816,636.42 = 422,320.54 : x
  2. Step 2: Convert to fraction form
    592,381.66/816,636.42 = 422,320.54/x
  3. Step 3: Cross multiply
    592,381.66x = 816,636.42 × 422,320.54
  4. Step 4: Simplify right side
    592,381.66x = 344,882,333,878.07
  5. Step 5: Solve for x
    x = 344,882,333,878.07/592,381.66
  6. Step 6: Final answer
    x = 582,196.17

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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.