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Finding the Fourth Proportional to 398,713.96, 597,874.02 and 145,803.79

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Solution

The fourth proportional to 398,713.96, 597,874.02 and 145,803.79 is: 218,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,713.96 : 597,874.02 = 145,803.79 : x
  2. Step 2: Convert to fraction form
    398,713.96/597,874.02 = 145,803.79/x
  3. Step 3: Cross multiply
    398,713.96x = 597,874.02 × 145,803.79
  4. Step 4: Simplify right side
    398,713.96x = 87,172,298,058.54
  5. Step 5: Solve for x
    x = 87,172,298,058.54/398,713.96
  6. Step 6: Final answer
    x = 218,633.67

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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.