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Finding the Fourth Proportional to 367,809.84, 507,624.48 and 224,539.20

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Solution

The fourth proportional to 367,809.84, 507,624.48 and 224,539.20 is: 309,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,809.84 : 507,624.48 = 224,539.20 : x
  2. Step 2: Convert to fraction form
    367,809.84/507,624.48 = 224,539.20/x
  3. Step 3: Cross multiply
    367,809.84x = 507,624.48 × 224,539.20
  4. Step 4: Simplify right side
    367,809.84x = 113,981,594,639.62
  5. Step 5: Solve for x
    x = 113,981,594,639.62/367,809.84
  6. Step 6: Final answer
    x = 309,892.73

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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.