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Finding the Fourth Proportional to 595,224.31, 821,415.52 and 323,297.52

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Solution

The fourth proportional to 595,224.31, 821,415.52 and 323,297.52 is: 446,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,224.31 : 821,415.52 = 323,297.52 : x
  2. Step 2: Convert to fraction form
    595,224.31/821,415.52 = 323,297.52/x
  3. Step 3: Cross multiply
    595,224.31x = 821,415.52 × 323,297.52
  4. Step 4: Simplify right side
    595,224.31x = 265,561,598,889.02
  5. Step 5: Solve for x
    x = 265,561,598,889.02/595,224.31
  6. Step 6: Final answer
    x = 446,153.82

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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.