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Finding the Fourth Proportional to 370,046.10, 510,676.00 and 226,778.47

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Solution

The fourth proportional to 370,046.10, 510,676.00 and 226,778.47 is: 312,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,046.10 : 510,676.00 = 226,778.47 : x
  2. Step 2: Convert to fraction form
    370,046.10/510,676.00 = 226,778.47/x
  3. Step 3: Cross multiply
    370,046.10x = 510,676.00 × 226,778.47
  4. Step 4: Simplify right side
    370,046.10x = 115,810,320,811.83
  5. Step 5: Solve for x
    x = 115,810,320,811.83/370,046.10
  6. Step 6: Final answer
    x = 312,961.88

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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.