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Finding the Fourth Proportional to 323,281.32, 446,110.50 and 180,015.81

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Solution

The fourth proportional to 323,281.32, 446,110.50 and 180,015.81 is: 248,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,281.32 : 446,110.50 = 180,015.81 : x
  2. Step 2: Convert to fraction form
    323,281.32/446,110.50 = 180,015.81/x
  3. Step 3: Cross multiply
    323,281.32x = 446,110.50 × 180,015.81
  4. Step 4: Simplify right side
    323,281.32x = 80,306,943,007.01
  5. Step 5: Solve for x
    x = 80,306,943,007.01/323,281.32
  6. Step 6: Final answer
    x = 248,411.95

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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.