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Finding the Fourth Proportional to 597,782.86, 824,927.16 and 325,840.30

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Solution

The fourth proportional to 597,782.86, 824,927.16 and 325,840.30 is: 449,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,782.86 : 824,927.16 = 325,840.30 : x
  2. Step 2: Convert to fraction form
    597,782.86/824,927.16 = 325,840.30/x
  3. Step 3: Cross multiply
    597,782.86x = 824,927.16 × 325,840.30
  4. Step 4: Simplify right side
    597,782.86x = 268,794,513,292.55
  5. Step 5: Solve for x
    x = 268,794,513,292.55/597,782.86
  6. Step 6: Final answer
    x = 449,652.43

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