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Finding the Fourth Proportional to 1,197,581.04, 1,795,982.76 and 398,648.07

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Solution

The fourth proportional to 1,197,581.04, 1,795,982.76 and 398,648.07 is: 597,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,581.04 : 1,795,982.76 = 398,648.07 : x
  2. Step 2: Convert to fraction form
    1,197,581.04/1,795,982.76 = 398,648.07/x
  3. Step 3: Cross multiply
    1,197,581.04x = 1,795,982.76 × 398,648.07
  4. Step 4: Simplify right side
    1,197,581.04x = 715,965,061,027.27
  5. Step 5: Solve for x
    x = 715,965,061,027.27/1,197,581.04
  6. Step 6: Final answer
    x = 597,842.68

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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.