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Finding the Fourth Proportional to 519,825.70, 778,900.20 and 294,516.10

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Solution

The fourth proportional to 519,825.70, 778,900.20 and 294,516.10 is: 441,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,825.70 : 778,900.20 = 294,516.10 : x
  2. Step 2: Convert to fraction form
    519,825.70/778,900.20 = 294,516.10/x
  3. Step 3: Cross multiply
    519,825.70x = 778,900.20 × 294,516.10
  4. Step 4: Simplify right side
    519,825.70x = 229,398,649,193.22
  5. Step 5: Solve for x
    x = 229,398,649,193.22/519,825.70
  6. Step 6: Final answer
    x = 441,299.17

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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.