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Finding the Fourth Proportional to 413,912.40, 619,556.40 and 295,814.40

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Solution

The fourth proportional to 413,912.40, 619,556.40 and 295,814.40 is: 442,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,912.40 : 619,556.40 = 295,814.40 : x
  2. Step 2: Convert to fraction form
    413,912.40/619,556.40 = 295,814.40/x
  3. Step 3: Cross multiply
    413,912.40x = 619,556.40 × 295,814.40
  4. Step 4: Simplify right side
    413,912.40x = 183,273,704,732.16
  5. Step 5: Solve for x
    x = 183,273,704,732.16/413,912.40
  6. Step 6: Final answer
    x = 442,783.80

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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.