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Finding the Fourth Proportional to 471,346.50, 650,344.75 and 277,762.12

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Solution

The fourth proportional to 471,346.50, 650,344.75 and 277,762.12 is: 383,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,346.50 : 650,344.75 = 277,762.12 : x
  2. Step 2: Convert to fraction form
    471,346.50/650,344.75 = 277,762.12/x
  3. Step 3: Cross multiply
    471,346.50x = 650,344.75 × 277,762.12
  4. Step 4: Simplify right side
    471,346.50x = 180,641,135,910.80
  5. Step 5: Solve for x
    x = 180,641,135,910.80/471,346.50
  6. Step 6: Final answer
    x = 383,244.89

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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.