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Finding the Fourth Proportional to 313,847.08, 470,977.98 and 147,648.04

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Solution

The fourth proportional to 313,847.08, 470,977.98 and 147,648.04 is: 221,569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,847.08 : 470,977.98 = 147,648.04 : x
  2. Step 2: Convert to fraction form
    313,847.08/470,977.98 = 147,648.04/x
  3. Step 3: Cross multiply
    313,847.08x = 470,977.98 × 147,648.04
  4. Step 4: Simplify right side
    313,847.08x = 69,538,975,630.16
  5. Step 5: Solve for x
    x = 69,538,975,630.16/313,847.08
  6. Step 6: Final answer
    x = 221,569.61

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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.