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Finding the Fourth Proportional to 405,992.29, 609,050.00 and 294,513.72

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Solution

The fourth proportional to 405,992.29, 609,050.00 and 294,513.72 is: 441,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,992.29 : 609,050.00 = 294,513.72 : x
  2. Step 2: Convert to fraction form
    405,992.29/609,050.00 = 294,513.72/x
  3. Step 3: Cross multiply
    405,992.29x = 609,050.00 × 294,513.72
  4. Step 4: Simplify right side
    405,992.29x = 179,373,581,801.78
  5. Step 5: Solve for x
    x = 179,373,581,801.78/405,992.29
  6. Step 6: Final answer
    x = 441,815.24

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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.