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Finding the Fourth Proportional to 405,872.35, 609,018.58 and 294,472.04

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Solution

The fourth proportional to 405,872.35, 609,018.58 and 294,472.04 is: 441,860.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,872.35 : 609,018.58 = 294,472.04 : x
  2. Step 2: Convert to fraction form
    405,872.35/609,018.58 = 294,472.04/x
  3. Step 3: Cross multiply
    405,872.35x = 609,018.58 × 294,472.04
  4. Step 4: Simplify right side
    405,872.35x = 179,338,940,973.50
  5. Step 5: Solve for x
    x = 179,338,940,973.50/405,872.35
  6. Step 6: Final answer
    x = 441,860.46

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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.