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Finding the Fourth Proportional to 433,025.86, 650,127.78 and 243,619.48

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Solution

The fourth proportional to 433,025.86, 650,127.78 and 243,619.48 is: 365,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,025.86 : 650,127.78 = 243,619.48 : x
  2. Step 2: Convert to fraction form
    433,025.86/650,127.78 = 243,619.48/x
  3. Step 3: Cross multiply
    433,025.86x = 650,127.78 × 243,619.48
  4. Step 4: Simplify right side
    433,025.86x = 158,383,791,697.15
  5. Step 5: Solve for x
    x = 158,383,791,697.15/433,025.86
  6. Step 6: Final answer
    x = 365,760.58

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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.