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Finding the Fourth Proportional to 323,464, 446,388.96 and 180,230.08

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Solution

The fourth proportional to 323,464, 446,388.96 and 180,230.08 is: 248,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,464 : 446,388.96 = 180,230.08 : x
  2. Step 2: Convert to fraction form
    323,464/446,388.96 = 180,230.08/x
  3. Step 3: Cross multiply
    323,464x = 446,388.96 × 180,230.08
  4. Step 4: Simplify right side
    323,464x = 80,452,717,971.92
  5. Step 5: Solve for x
    x = 80,452,717,971.92/323,464
  6. Step 6: Final answer
    x = 248,722.32

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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.