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Finding the Fourth Proportional to 405,994.28, 609,053 and 294,515.72

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Solution

The fourth proportional to 405,994.28, 609,053 and 294,515.72 is: 441,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,994.28 : 609,053 = 294,515.72 : x
  2. Step 2: Convert to fraction form
    405,994.28/609,053 = 294,515.72/x
  3. Step 3: Cross multiply
    405,994.28x = 609,053 × 294,515.72
  4. Step 4: Simplify right side
    405,994.28x = 179,375,682,813.16
  5. Step 5: Solve for x
    x = 179,375,682,813.16/405,994.28
  6. Step 6: Final answer
    x = 441,818.25

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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.