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Finding the Fourth Proportional to 405,876.37, 609,024.54 and 294,476.06

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Solution

The fourth proportional to 405,876.37, 609,024.54 and 294,476.06 is: 441,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,876.37 : 609,024.54 = 294,476.06 : x
  2. Step 2: Convert to fraction form
    405,876.37/609,024.54 = 294,476.06/x
  3. Step 3: Cross multiply
    405,876.37x = 609,024.54 × 294,476.06
  4. Step 4: Simplify right side
    405,876.37x = 179,343,145,148.33
  5. Step 5: Solve for x
    x = 179,343,145,148.33/405,876.37
  6. Step 6: Final answer
    x = 441,866.44

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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.