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Finding the Fourth Proportional to 477,494.40, 716,286.48 and 140,535.24

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Solution

The fourth proportional to 477,494.40, 716,286.48 and 140,535.24 is: 210,816.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,494.40 : 716,286.48 = 140,535.24 : x
  2. Step 2: Convert to fraction form
    477,494.40/716,286.48 = 140,535.24/x
  3. Step 3: Cross multiply
    477,494.40x = 716,286.48 × 140,535.24
  4. Step 4: Simplify right side
    477,494.40x = 100,663,492,375.56
  5. Step 5: Solve for x
    x = 100,663,492,375.56/477,494.40
  6. Step 6: Final answer
    x = 210,816.07

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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.