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Finding the Fourth Proportional to 595,114.68, 821,255.72 and 323,180.67

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Solution

The fourth proportional to 595,114.68, 821,255.72 and 323,180.67 is: 445,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,114.68 : 821,255.72 = 323,180.67 : x
  2. Step 2: Convert to fraction form
    595,114.68/821,255.72 = 323,180.67/x
  3. Step 3: Cross multiply
    595,114.68x = 821,255.72 × 323,180.67
  4. Step 4: Simplify right side
    595,114.68x = 265,413,973,830.93
  5. Step 5: Solve for x
    x = 265,413,973,830.93/595,114.68
  6. Step 6: Final answer
    x = 445,987.95

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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.