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Finding the Fourth Proportional to 309,065.86, 462,997.32 and 227,864.98

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Solution

The fourth proportional to 309,065.86, 462,997.32 and 227,864.98 is: 341,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,065.86 : 462,997.32 = 227,864.98 : x
  2. Step 2: Convert to fraction form
    309,065.86/462,997.32 = 227,864.98/x
  3. Step 3: Cross multiply
    309,065.86x = 462,997.32 × 227,864.98
  4. Step 4: Simplify right side
    309,065.86x = 105,500,875,061.85
  5. Step 5: Solve for x
    x = 105,500,875,061.85/309,065.86
  6. Step 6: Final answer
    x = 341,354.02

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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.