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Finding the Fourth Proportional to 597,999.71, 825,256.22 and 365,464.31

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Solution

The fourth proportional to 597,999.71, 825,256.22 and 365,464.31 is: 504,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,999.71 : 825,256.22 = 365,464.31 : x
  2. Step 2: Convert to fraction form
    597,999.71/825,256.22 = 365,464.31/x
  3. Step 3: Cross multiply
    597,999.71x = 825,256.22 × 365,464.31
  4. Step 4: Simplify right side
    597,999.71x = 301,601,689,061.91
  5. Step 5: Solve for x
    x = 301,601,689,061.91/597,999.71
  6. Step 6: Final answer
    x = 504,350.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.