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Finding the Fourth Proportional to 595,388, 821,648.40 and 327,116

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Solution

The fourth proportional to 595,388, 821,648.40 and 327,116 is: 451,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,388 : 821,648.40 = 327,116 : x
  2. Step 2: Convert to fraction form
    595,388/821,648.40 = 327,116/x
  3. Step 3: Cross multiply
    595,388x = 821,648.40 × 327,116
  4. Step 4: Simplify right side
    595,388x = 268,774,338,014.40
  5. Step 5: Solve for x
    x = 268,774,338,014.40/595,388
  6. Step 6: Final answer
    x = 451,427.20

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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.