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Finding the Fourth Proportional to 365,945.20, 549,263.40 and 225,977.20

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Solution

The fourth proportional to 365,945.20, 549,263.40 and 225,977.20 is: 339,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,945.20 : 549,263.40 = 225,977.20 : x
  2. Step 2: Convert to fraction form
    365,945.20/549,263.40 = 225,977.20/x
  3. Step 3: Cross multiply
    365,945.20x = 549,263.40 × 225,977.20
  4. Step 4: Simplify right side
    365,945.20x = 124,121,005,194.48
  5. Step 5: Solve for x
    x = 124,121,005,194.48/365,945.20
  6. Step 6: Final answer
    x = 339,179.21

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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.