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Finding the Fourth Proportional to 334,430.13, 461,483.07 and 198,440.65

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Solution

The fourth proportional to 334,430.13, 461,483.07 and 198,440.65 is: 273,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,430.13 : 461,483.07 = 198,440.65 : x
  2. Step 2: Convert to fraction form
    334,430.13/461,483.07 = 198,440.65/x
  3. Step 3: Cross multiply
    334,430.13x = 461,483.07 × 198,440.65
  4. Step 4: Simplify right side
    334,430.13x = 91,576,998,067.38
  5. Step 5: Solve for x
    x = 91,576,998,067.38/334,430.13
  6. Step 6: Final answer
    x = 273,829.99

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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.