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Finding the Fourth Proportional to 334,462.64, 461,527.65 and 198,473.15

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Solution

The fourth proportional to 334,462.64, 461,527.65 and 198,473.15 is: 273,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,462.64 : 461,527.65 = 198,473.15 : x
  2. Step 2: Convert to fraction form
    334,462.64/461,527.65 = 198,473.15/x
  3. Step 3: Cross multiply
    334,462.64x = 461,527.65 × 198,473.15
  4. Step 4: Simplify right side
    334,462.64x = 91,600,844,199.96
  5. Step 5: Solve for x
    x = 91,600,844,199.96/334,462.64
  6. Step 6: Final answer
    x = 273,874.67

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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.