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Finding the Fourth Proportional to 323,393.60, 446,316 and 180,176.96

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Solution

The fourth proportional to 323,393.60, 446,316 and 180,176.96 is: 248,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,393.60 : 446,316 = 180,176.96 : x
  2. Step 2: Convert to fraction form
    323,393.60/446,316 = 180,176.96/x
  3. Step 3: Cross multiply
    323,393.60x = 446,316 × 180,176.96
  4. Step 4: Simplify right side
    323,393.60x = 80,415,860,079.36
  5. Step 5: Solve for x
    x = 80,415,860,079.36/323,393.60
  6. Step 6: Final answer
    x = 248,662.50

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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.