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Finding the Fourth Proportional to 477,399.68, 716,041.16 and 196,880.48

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Solution

The fourth proportional to 477,399.68, 716,041.16 and 196,880.48 is: 295,296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,399.68 : 716,041.16 = 196,880.48 : x
  2. Step 2: Convert to fraction form
    477,399.68/716,041.16 = 196,880.48/x
  3. Step 3: Cross multiply
    477,399.68x = 716,041.16 × 196,880.48
  4. Step 4: Simplify right side
    477,399.68x = 140,974,527,280.56
  5. Step 5: Solve for x
    x = 140,974,527,280.56/477,399.68
  6. Step 6: Final answer
    x = 295,296.65

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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.