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Finding the Fourth Proportional to 631,462.89, 946,532.74 and 294,225.42

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Solution

The fourth proportional to 631,462.89, 946,532.74 and 294,225.42 is: 441,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,462.89 : 946,532.74 = 294,225.42 : x
  2. Step 2: Convert to fraction form
    631,462.89/946,532.74 = 294,225.42/x
  3. Step 3: Cross multiply
    631,462.89x = 946,532.74 × 294,225.42
  4. Step 4: Simplify right side
    631,462.89x = 278,493,992,970.25
  5. Step 5: Solve for x
    x = 278,493,992,970.25/631,462.89
  6. Step 6: Final answer
    x = 441,029.86

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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.