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Finding the Fourth Proportional to 323,281.95, 446,142.93 and 180,042

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Solution

The fourth proportional to 323,281.95, 446,142.93 and 180,042 is: 248,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,281.95 : 446,142.93 = 180,042 : x
  2. Step 2: Convert to fraction form
    323,281.95/446,142.93 = 180,042/x
  3. Step 3: Cross multiply
    323,281.95x = 446,142.93 × 180,042
  4. Step 4: Simplify right side
    323,281.95x = 80,324,465,403.06
  5. Step 5: Solve for x
    x = 80,324,465,403.06/323,281.95
  6. Step 6: Final answer
    x = 248,465.67

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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.