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Finding the Fourth Proportional to 317,283.54, 437,850.10 and 196,400.76

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Solution

The fourth proportional to 317,283.54, 437,850.10 and 196,400.76 is: 271,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,283.54 : 437,850.10 = 196,400.76 : x
  2. Step 2: Convert to fraction form
    317,283.54/437,850.10 = 196,400.76/x
  3. Step 3: Cross multiply
    317,283.54x = 437,850.10 × 196,400.76
  4. Step 4: Simplify right side
    317,283.54x = 85,994,092,406.08
  5. Step 5: Solve for x
    x = 85,994,092,406.08/317,283.54
  6. Step 6: Final answer
    x = 271,032.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.