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Finding the Fourth Proportional to 299,790.58, 413,520.74 and 228,013.24

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Solution

The fourth proportional to 299,790.58, 413,520.74 and 228,013.24 is: 314,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,790.58 : 413,520.74 = 228,013.24 : x
  2. Step 2: Convert to fraction form
    299,790.58/413,520.74 = 228,013.24/x
  3. Step 3: Cross multiply
    299,790.58x = 413,520.74 × 228,013.24
  4. Step 4: Simplify right side
    299,790.58x = 94,288,203,734.60
  5. Step 5: Solve for x
    x = 94,288,203,734.60/299,790.58
  6. Step 6: Final answer
    x = 314,513.56

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1.5x scale

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.