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Finding the Fourth Proportional to 348,049.60, 522,074.40 and 305,195.20

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Solution

The fourth proportional to 348,049.60, 522,074.40 and 305,195.20 is: 457,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,049.60 : 522,074.40 = 305,195.20 : x
  2. Step 2: Convert to fraction form
    348,049.60/522,074.40 = 305,195.20/x
  3. Step 3: Cross multiply
    348,049.60x = 522,074.40 × 305,195.20
  4. Step 4: Simplify right side
    348,049.60x = 159,334,600,922.88
  5. Step 5: Solve for x
    x = 159,334,600,922.88/348,049.60
  6. Step 6: Final answer
    x = 457,792.80

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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.