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Finding the Fourth Proportional to 468,123.96, 701,847.54 and 278,133.72

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Solution

The fourth proportional to 468,123.96, 701,847.54 and 278,133.72 is: 416,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,123.96 : 701,847.54 = 278,133.72 : x
  2. Step 2: Convert to fraction form
    468,123.96/701,847.54 = 278,133.72/x
  3. Step 3: Cross multiply
    468,123.96x = 701,847.54 × 278,133.72
  4. Step 4: Simplify right side
    468,123.96x = 195,207,467,173.05
  5. Step 5: Solve for x
    x = 195,207,467,173.05/468,123.96
  6. Step 6: Final answer
    x = 416,999.52

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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.