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Finding the Fourth Proportional to 320,367.42, 442,074.11 and 184,374.90

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Solution

The fourth proportional to 320,367.42, 442,074.11 and 184,374.90 is: 254,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,367.42 : 442,074.11 = 184,374.90 : x
  2. Step 2: Convert to fraction form
    320,367.42/442,074.11 = 184,374.90/x
  3. Step 3: Cross multiply
    320,367.42x = 442,074.11 × 184,374.90
  4. Step 4: Simplify right side
    320,367.42x = 81,507,368,901.96
  5. Step 5: Solve for x
    x = 81,507,368,901.96/320,367.42
  6. Step 6: Final answer
    x = 254,418.41

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1.5x scale

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.