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Finding the Fourth Proportional to 463,854.72, 640,101.60 and 262,651.20

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Solution

The fourth proportional to 463,854.72, 640,101.60 and 262,651.20 is: 362,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,854.72 : 640,101.60 = 262,651.20 : x
  2. Step 2: Convert to fraction form
    463,854.72/640,101.60 = 262,651.20/x
  3. Step 3: Cross multiply
    463,854.72x = 640,101.60 × 262,651.20
  4. Step 4: Simplify right side
    463,854.72x = 168,123,453,361.92
  5. Step 5: Solve for x
    x = 168,123,453,361.92/463,854.72
  6. Step 6: Final answer
    x = 362,448.51

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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.