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Finding the Fourth Proportional to 595,194.32, 821,374.11 and 323,267.54

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Solution

The fourth proportional to 595,194.32, 821,374.11 and 323,267.54 is: 446,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,194.32 : 821,374.11 = 323,267.54 : x
  2. Step 2: Convert to fraction form
    595,194.32/821,374.11 = 323,267.54/x
  3. Step 3: Cross multiply
    595,194.32x = 821,374.11 × 323,267.54
  4. Step 4: Simplify right side
    595,194.32x = 265,523,583,852.52
  5. Step 5: Solve for x
    x = 265,523,583,852.52/595,194.32
  6. Step 6: Final answer
    x = 446,112.43

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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.