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Finding the Fourth Proportional to 271,627.20, 407,829.60 and 153,529.20

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Solution

The fourth proportional to 271,627.20, 407,829.60 and 153,529.20 is: 230,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,627.20 : 407,829.60 = 153,529.20 : x
  2. Step 2: Convert to fraction form
    271,627.20/407,829.60 = 153,529.20/x
  3. Step 3: Cross multiply
    271,627.20x = 407,829.60 × 153,529.20
  4. Step 4: Simplify right side
    271,627.20x = 62,613,752,224.32
  5. Step 5: Solve for x
    x = 62,613,752,224.32/271,627.20
  6. Step 6: Final answer
    x = 230,513.56

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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.