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Finding the Fourth Proportional to 357,014.91, 492,676.52 and 206,108.67

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Solution

The fourth proportional to 357,014.91, 492,676.52 and 206,108.67 is: 284,427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,014.91 : 492,676.52 = 206,108.67 : x
  2. Step 2: Convert to fraction form
    357,014.91/492,676.52 = 206,108.67/x
  3. Step 3: Cross multiply
    357,014.91x = 492,676.52 × 206,108.67
  4. Step 4: Simplify right side
    357,014.91x = 101,544,901,246.89
  5. Step 5: Solve for x
    x = 101,544,901,246.89/357,014.91
  6. Step 6: Final answer
    x = 284,427.62

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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.