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Finding the Fourth Proportional to 438,077.20, 656,194.20 and 364,349.20

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Solution

The fourth proportional to 438,077.20, 656,194.20 and 364,349.20 is: 545,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,077.20 : 656,194.20 = 364,349.20 : x
  2. Step 2: Convert to fraction form
    438,077.20/656,194.20 = 364,349.20/x
  3. Step 3: Cross multiply
    438,077.20x = 656,194.20 × 364,349.20
  4. Step 4: Simplify right side
    438,077.20x = 239,083,831,814.64
  5. Step 5: Solve for x
    x = 239,083,831,814.64/438,077.20
  6. Step 6: Final answer
    x = 545,757.30

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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.