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Finding the Fourth Proportional to 397,833.19, 596,743.94 and 98,313.76

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Solution

The fourth proportional to 397,833.19, 596,743.94 and 98,313.76 is: 147,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,833.19 : 596,743.94 = 98,313.76 : x
  2. Step 2: Convert to fraction form
    397,833.19/596,743.94 = 98,313.76/x
  3. Step 3: Cross multiply
    397,833.19x = 596,743.94 × 98,313.76
  4. Step 4: Simplify right side
    397,833.19x = 58,668,141,305.99
  5. Step 5: Solve for x
    x = 58,668,141,305.99/397,833.19
  6. Step 6: Final answer
    x = 147,469.20

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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.