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Finding the Fourth Proportional to 294,420.45, 413,121.75 and 294,420.45

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Solution

The fourth proportional to 294,420.45, 413,121.75 and 294,420.45 is: 413,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,420.45 : 413,121.75 = 294,420.45 : x
  2. Step 2: Convert to fraction form
    294,420.45/413,121.75 = 294,420.45/x
  3. Step 3: Cross multiply
    294,420.45x = 413,121.75 × 294,420.45
  4. Step 4: Simplify right side
    294,420.45x = 121,631,491,539.79
  5. Step 5: Solve for x
    x = 121,631,491,539.79/294,420.45
  6. Step 6: Final answer
    x = 413,121.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.