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Finding the Fourth Proportional to 470,637.76, 705,559.36 and 204,197.44

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Solution

The fourth proportional to 470,637.76, 705,559.36 and 204,197.44 is: 306,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,637.76 : 705,559.36 = 204,197.44 : x
  2. Step 2: Convert to fraction form
    470,637.76/705,559.36 = 204,197.44/x
  3. Step 3: Cross multiply
    470,637.76x = 705,559.36 × 204,197.44
  4. Step 4: Simplify right side
    470,637.76x = 144,073,415,080.04
  5. Step 5: Solve for x
    x = 144,073,415,080.04/470,637.76
  6. Step 6: Final answer
    x = 306,123.79

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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.