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Finding the Fourth Proportional to 471,769.60, 707,946 and 191,289.28

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Solution

The fourth proportional to 471,769.60, 707,946 and 191,289.28 is: 287,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,769.60 : 707,946 = 191,289.28 : x
  2. Step 2: Convert to fraction form
    471,769.60/707,946 = 191,289.28/x
  3. Step 3: Cross multiply
    471,769.60x = 707,946 × 191,289.28
  4. Step 4: Simplify right side
    471,769.60x = 135,422,480,618.88
  5. Step 5: Solve for x
    x = 135,422,480,618.88/471,769.60
  6. Step 6: Final answer
    x = 287,052.16

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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.