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Finding the Fourth Proportional to 309,226.38, 463,670.96 and 93,053.62

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Solution

The fourth proportional to 309,226.38, 463,670.96 and 93,053.62 is: 139,529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,226.38 : 463,670.96 = 93,053.62 : x
  2. Step 2: Convert to fraction form
    309,226.38/463,670.96 = 93,053.62/x
  3. Step 3: Cross multiply
    309,226.38x = 463,670.96 × 93,053.62
  4. Step 4: Simplify right side
    309,226.38x = 43,146,262,344.95
  5. Step 5: Solve for x
    x = 43,146,262,344.95/309,226.38
  6. Step 6: Final answer
    x = 139,529.69

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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.