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Finding the Fourth Proportional to 365,055.60, 547,583.40 and 264,745.20

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Solution

The fourth proportional to 365,055.60, 547,583.40 and 264,745.20 is: 397,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,055.60 : 547,583.40 = 264,745.20 : x
  2. Step 2: Convert to fraction form
    365,055.60/547,583.40 = 264,745.20/x
  3. Step 3: Cross multiply
    365,055.60x = 547,583.40 × 264,745.20
  4. Step 4: Simplify right side
    365,055.60x = 144,970,076,749.68
  5. Step 5: Solve for x
    x = 144,970,076,749.68/365,055.60
  6. Step 6: Final answer
    x = 397,117.80

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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.