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Finding the Fourth Proportional to 471,220.80, 706,827.92 and 190,734

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Solution

The fourth proportional to 471,220.80, 706,827.92 and 190,734 is: 286,099.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,220.80 : 706,827.92 = 190,734 : x
  2. Step 2: Convert to fraction form
    471,220.80/706,827.92 = 190,734/x
  3. Step 3: Cross multiply
    471,220.80x = 706,827.92 × 190,734
  4. Step 4: Simplify right side
    471,220.80x = 134,816,116,493.28
  5. Step 5: Solve for x
    x = 134,816,116,493.28/471,220.80
  6. Step 6: Final answer
    x = 286,099.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.