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Finding the Fourth Proportional to 394,477.20, 592,007.40 and 261,313.20

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Solution

The fourth proportional to 394,477.20, 592,007.40 and 261,313.20 is: 392,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,477.20 : 592,007.40 = 261,313.20 : x
  2. Step 2: Convert to fraction form
    394,477.20/592,007.40 = 261,313.20/x
  3. Step 3: Cross multiply
    394,477.20x = 592,007.40 × 261,313.20
  4. Step 4: Simplify right side
    394,477.20x = 154,699,348,117.68
  5. Step 5: Solve for x
    x = 154,699,348,117.68/394,477.20
  6. Step 6: Final answer
    x = 392,162.96

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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.