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Finding the Fourth Proportional to 413,262, 619,997.04 and 117,774

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Solution

The fourth proportional to 413,262, 619,997.04 and 117,774 is: 176,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,262 : 619,997.04 = 117,774 : x
  2. Step 2: Convert to fraction form
    413,262/619,997.04 = 117,774/x
  3. Step 3: Cross multiply
    413,262x = 619,997.04 × 117,774
  4. Step 4: Simplify right side
    413,262x = 73,019,531,388.96
  5. Step 5: Solve for x
    x = 73,019,531,388.96/413,262
  6. Step 6: Final answer
    x = 176,690.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.