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Finding the Fourth Proportional to 320,348.16, 442,054.80 and 184,375.08

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Solution

The fourth proportional to 320,348.16, 442,054.80 and 184,375.08 is: 254,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,348.16 : 442,054.80 = 184,375.08 : x
  2. Step 2: Convert to fraction form
    320,348.16/442,054.80 = 184,375.08/x
  3. Step 3: Cross multiply
    320,348.16x = 442,054.80 × 184,375.08
  4. Step 4: Simplify right side
    320,348.16x = 81,503,889,114.38
  5. Step 5: Solve for x
    x = 81,503,889,114.38/320,348.16
  6. Step 6: Final answer
    x = 254,422.84

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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.