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Finding the Fourth Proportional to 313,823.70, 470,735.55 and 219,345.30

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Solution

The fourth proportional to 313,823.70, 470,735.55 and 219,345.30 is: 329,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,823.70 : 470,735.55 = 219,345.30 : x
  2. Step 2: Convert to fraction form
    313,823.70/470,735.55 = 219,345.30/x
  3. Step 3: Cross multiply
    313,823.70x = 470,735.55 × 219,345.30
  4. Step 4: Simplify right side
    313,823.70x = 103,253,630,435.42
  5. Step 5: Solve for x
    x = 103,253,630,435.42/313,823.70
  6. Step 6: Final answer
    x = 329,017.95

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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.