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Finding the Fourth Proportional to 517,302, 775,201.86 and 367,842.96

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Solution

The fourth proportional to 517,302, 775,201.86 and 367,842.96 is: 551,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,302 : 775,201.86 = 367,842.96 : x
  2. Step 2: Convert to fraction form
    517,302/775,201.86 = 367,842.96/x
  3. Step 3: Cross multiply
    517,302x = 775,201.86 × 367,842.96
  4. Step 4: Simplify right side
    517,302x = 285,152,546,779.91
  5. Step 5: Solve for x
    x = 285,152,546,779.91/517,302
  6. Step 6: Final answer
    x = 551,230.32

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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.