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Finding the Fourth Proportional to 477,396.45, 716,416.70 and 196,907.49

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Solution

The fourth proportional to 477,396.45, 716,416.70 and 196,907.49 is: 295,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,396.45 : 716,416.70 = 196,907.49 : x
  2. Step 2: Convert to fraction form
    477,396.45/716,416.70 = 196,907.49/x
  3. Step 3: Cross multiply
    477,396.45x = 716,416.70 × 196,907.49
  4. Step 4: Simplify right side
    477,396.45x = 141,067,813,206.55
  5. Step 5: Solve for x
    x = 141,067,813,206.55/477,396.45
  6. Step 6: Final answer
    x = 295,494.06

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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.