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Finding the Fourth Proportional to 413,165.60, 619,748.40 and 410,832.80

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Solution

The fourth proportional to 413,165.60, 619,748.40 and 410,832.80 is: 616,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,165.60 : 619,748.40 = 410,832.80 : x
  2. Step 2: Convert to fraction form
    413,165.60/619,748.40 = 410,832.80/x
  3. Step 3: Cross multiply
    413,165.60x = 619,748.40 × 410,832.80
  4. Step 4: Simplify right side
    413,165.60x = 254,612,970,467.52
  5. Step 5: Solve for x
    x = 254,612,970,467.52/413,165.60
  6. Step 6: Final answer
    x = 616,249.20

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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.