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Finding the Fourth Proportional to 320,433.58, 480,677.64 and 83,775.88

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Solution

The fourth proportional to 320,433.58, 480,677.64 and 83,775.88 is: 125,670.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,433.58 : 480,677.64 = 83,775.88 : x
  2. Step 2: Convert to fraction form
    320,433.58/480,677.64 = 83,775.88/x
  3. Step 3: Cross multiply
    320,433.58x = 480,677.64 × 83,775.88
  4. Step 4: Simplify right side
    320,433.58x = 40,269,192,287.32
  5. Step 5: Solve for x
    x = 40,269,192,287.32/320,433.58
  6. Step 6: Final answer
    x = 125,670.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.