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Finding the Fourth Proportional to 405,722.40, 608,583.60 and 264,004.80

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Solution

The fourth proportional to 405,722.40, 608,583.60 and 264,004.80 is: 396,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,722.40 : 608,583.60 = 264,004.80 : x
  2. Step 2: Convert to fraction form
    405,722.40/608,583.60 = 264,004.80/x
  3. Step 3: Cross multiply
    405,722.40x = 608,583.60 × 264,004.80
  4. Step 4: Simplify right side
    405,722.40x = 160,668,991,601.28
  5. Step 5: Solve for x
    x = 160,668,991,601.28/405,722.40
  6. Step 6: Final answer
    x = 396,007.20

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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.