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Finding the Fourth Proportional to 359,982, 496,775.16 and 201,006

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Solution

The fourth proportional to 359,982, 496,775.16 and 201,006 is: 277,388.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,982 : 496,775.16 = 201,006 : x
  2. Step 2: Convert to fraction form
    359,982/496,775.16 = 201,006/x
  3. Step 3: Cross multiply
    359,982x = 496,775.16 × 201,006
  4. Step 4: Simplify right side
    359,982x = 99,854,787,810.96
  5. Step 5: Solve for x
    x = 99,854,787,810.96/359,982
  6. Step 6: Final answer
    x = 277,388.28

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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.