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Finding the Fourth Proportional to 519,824.70, 778,898.70 and 294,515.10

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Solution

The fourth proportional to 519,824.70, 778,898.70 and 294,515.10 is: 441,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,824.70 : 778,898.70 = 294,515.10 : x
  2. Step 2: Convert to fraction form
    519,824.70/778,898.70 = 294,515.10/x
  3. Step 3: Cross multiply
    519,824.70x = 778,898.70 × 294,515.10
  4. Step 4: Simplify right side
    519,824.70x = 229,397,428,520.37
  5. Step 5: Solve for x
    x = 229,397,428,520.37/519,824.70
  6. Step 6: Final answer
    x = 441,297.67

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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.