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Finding the Fourth Proportional to 312,059.70, 468,251.55 and 145,847.70

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Solution

The fourth proportional to 312,059.70, 468,251.55 and 145,847.70 is: 218,847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,059.70 : 468,251.55 = 145,847.70 : x
  2. Step 2: Convert to fraction form
    312,059.70/468,251.55 = 145,847.70/x
  3. Step 3: Cross multiply
    312,059.70x = 468,251.55 × 145,847.70
  4. Step 4: Simplify right side
    312,059.70x = 68,293,411,588.94
  5. Step 5: Solve for x
    x = 68,293,411,588.94/312,059.70
  6. Step 6: Final answer
    x = 218,847.26

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1.5x scale

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.