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Finding the Fourth Proportional to 477,422.48, 716,153.16 and 196,913

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Solution

The fourth proportional to 477,422.48, 716,153.16 and 196,913 is: 295,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,422.48 : 716,153.16 = 196,913 : x
  2. Step 2: Convert to fraction form
    477,422.48/716,153.16 = 196,913/x
  3. Step 3: Cross multiply
    477,422.48x = 716,153.16 × 196,913
  4. Step 4: Simplify right side
    477,422.48x = 141,019,867,195.08
  5. Step 5: Solve for x
    x = 141,019,867,195.08/477,422.48
  6. Step 6: Final answer
    x = 295,377.52

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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.