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Finding the Fourth Proportional to 320,354.78, 441,962.44 and 184,315.52

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Solution

The fourth proportional to 320,354.78, 441,962.44 and 184,315.52 is: 254,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,354.78 : 441,962.44 = 184,315.52 : x
  2. Step 2: Convert to fraction form
    320,354.78/441,962.44 = 184,315.52/x
  3. Step 3: Cross multiply
    320,354.78x = 441,962.44 × 184,315.52
  4. Step 4: Simplify right side
    320,354.78x = 81,460,536,143.92
  5. Step 5: Solve for x
    x = 81,460,536,143.92/320,354.78
  6. Step 6: Final answer
    x = 254,282.26

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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.