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Finding the Fourth Proportional to 334,430, 461,362.68 and 198,469.67

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Solution

The fourth proportional to 334,430, 461,362.68 and 198,469.67 is: 273,798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,430 : 461,362.68 = 198,469.67 : x
  2. Step 2: Convert to fraction form
    334,430/461,362.68 = 198,469.67/x
  3. Step 3: Cross multiply
    334,430x = 461,362.68 × 198,469.67
  4. Step 4: Simplify right side
    334,430x = 91,566,498,849.92
  5. Step 5: Solve for x
    x = 91,566,498,849.92/334,430
  6. Step 6: Final answer
    x = 273,798.70

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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.