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Finding the Fourth Proportional to 595,362.92, 821,597.54 and 323,428.64

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Solution

The fourth proportional to 595,362.92, 821,597.54 and 323,428.64 is: 446,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,362.92 : 821,597.54 = 323,428.64 : x
  2. Step 2: Convert to fraction form
    595,362.92/821,597.54 = 323,428.64/x
  3. Step 3: Cross multiply
    595,362.92x = 821,597.54 × 323,428.64
  4. Step 4: Simplify right side
    595,362.92x = 265,728,170,881.56
  5. Step 5: Solve for x
    x = 265,728,170,881.56/595,362.92
  6. Step 6: Final answer
    x = 446,329.73

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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.