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Finding the Fourth Proportional to 413,195.40, 619,793.10 and 346,273.20

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Solution

The fourth proportional to 413,195.40, 619,793.10 and 346,273.20 is: 519,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,195.40 : 619,793.10 = 346,273.20 : x
  2. Step 2: Convert to fraction form
    413,195.40/619,793.10 = 346,273.20/x
  3. Step 3: Cross multiply
    413,195.40x = 619,793.10 × 346,273.20
  4. Step 4: Simplify right side
    413,195.40x = 214,617,740,074.92
  5. Step 5: Solve for x
    x = 214,617,740,074.92/413,195.40
  6. Step 6: Final answer
    x = 519,409.80

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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.