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Finding the Fourth Proportional to 399,139.75, 598,709.58 and 146,324.67

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Solution

The fourth proportional to 399,139.75, 598,709.58 and 146,324.67 is: 219,487.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,139.75 : 598,709.58 = 146,324.67 : x
  2. Step 2: Convert to fraction form
    399,139.75/598,709.58 = 146,324.67/x
  3. Step 3: Cross multiply
    399,139.75x = 598,709.58 × 146,324.67
  4. Step 4: Simplify right side
    399,139.75x = 87,605,983,964.50
  5. Step 5: Solve for x
    x = 87,605,983,964.50/399,139.75
  6. Step 6: Final answer
    x = 219,487.00

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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.