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Finding the Fourth Proportional to 323,477.96, 446,393.68 and 180,234.94

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Solution

The fourth proportional to 323,477.96, 446,393.68 and 180,234.94 is: 248,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,477.96 : 446,393.68 = 180,234.94 : x
  2. Step 2: Convert to fraction form
    323,477.96/446,393.68 = 180,234.94/x
  3. Step 3: Cross multiply
    323,477.96x = 446,393.68 × 180,234.94
  4. Step 4: Simplify right side
    323,477.96x = 80,455,738,131.18
  5. Step 5: Solve for x
    x = 80,455,738,131.18/323,477.96
  6. Step 6: Final answer
    x = 248,720.93

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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.