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Finding the Fourth Proportional to 334,428, 461,359.92 and 198,467.67

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Solution

The fourth proportional to 334,428, 461,359.92 and 198,467.67 is: 273,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,428 : 461,359.92 = 198,467.67 : x
  2. Step 2: Convert to fraction form
    334,428/461,359.92 = 198,467.67/x
  3. Step 3: Cross multiply
    334,428x = 461,359.92 × 198,467.67
  4. Step 4: Simplify right side
    334,428x = 91,565,028,353.79
  5. Step 5: Solve for x
    x = 91,565,028,353.79/334,428
  6. Step 6: Final answer
    x = 273,795.94

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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.