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Finding the Fourth Proportional to 413,131.60, 619,697.40 and 147,192.40

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Solution

The fourth proportional to 413,131.60, 619,697.40 and 147,192.40 is: 220,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,131.60 : 619,697.40 = 147,192.40 : x
  2. Step 2: Convert to fraction form
    413,131.60/619,697.40 = 147,192.40/x
  3. Step 3: Cross multiply
    413,131.60x = 619,697.40 × 147,192.40
  4. Step 4: Simplify right side
    413,131.60x = 91,214,747,579.76
  5. Step 5: Solve for x
    x = 91,214,747,579.76/413,131.60
  6. Step 6: Final answer
    x = 220,788.60

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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.