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Finding the Fourth Proportional to 323,290.48, 446,154.69 and 180,050.50

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Solution

The fourth proportional to 323,290.48, 446,154.69 and 180,050.50 is: 248,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,290.48 : 446,154.69 = 180,050.50 : x
  2. Step 2: Convert to fraction form
    323,290.48/446,154.69 = 180,050.50/x
  3. Step 3: Cross multiply
    323,290.48x = 446,154.69 × 180,050.50
  4. Step 4: Simplify right side
    323,290.48x = 80,330,375,011.85
  5. Step 5: Solve for x
    x = 80,330,375,011.85/323,290.48
  6. Step 6: Final answer
    x = 248,477.39

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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.