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Finding the Fourth Proportional to 413,081.40, 619,622.10 and 367,980.60

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Solution

The fourth proportional to 413,081.40, 619,622.10 and 367,980.60 is: 551,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,081.40 : 619,622.10 = 367,980.60 : x
  2. Step 2: Convert to fraction form
    413,081.40/619,622.10 = 367,980.60/x
  3. Step 3: Cross multiply
    413,081.40x = 619,622.10 × 367,980.60
  4. Step 4: Simplify right side
    413,081.40x = 228,008,912,131.26
  5. Step 5: Solve for x
    x = 228,008,912,131.26/413,081.40
  6. Step 6: Final answer
    x = 551,970.90

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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.