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Finding the Fourth Proportional to 331,544.80, 497,317.20 and 294,803.20

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Solution

The fourth proportional to 331,544.80, 497,317.20 and 294,803.20 is: 442,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,544.80 : 497,317.20 = 294,803.20 : x
  2. Step 2: Convert to fraction form
    331,544.80/497,317.20 = 294,803.20/x
  3. Step 3: Cross multiply
    331,544.80x = 497,317.20 × 294,803.20
  4. Step 4: Simplify right side
    331,544.80x = 146,610,701,975.04
  5. Step 5: Solve for x
    x = 146,610,701,975.04/331,544.80
  6. Step 6: Final answer
    x = 442,204.80

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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.