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Finding the Fourth Proportional to 323,476.96, 446,392.28 and 180,233.96

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Solution

The fourth proportional to 323,476.96, 446,392.28 and 180,233.96 is: 248,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,476.96 : 446,392.28 = 180,233.96 : x
  2. Step 2: Convert to fraction form
    323,476.96/446,392.28 = 180,233.96/x
  3. Step 3: Cross multiply
    323,476.96x = 446,392.28 × 180,233.96
  4. Step 4: Simplify right side
    323,476.96x = 80,455,048,337.83
  5. Step 5: Solve for x
    x = 80,455,048,337.83/323,476.96
  6. Step 6: Final answer
    x = 248,719.56

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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.