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Finding the Fourth Proportional to 470,534.84, 705,405.42 and 204,094.66

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Solution

The fourth proportional to 470,534.84, 705,405.42 and 204,094.66 is: 305,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,534.84 : 705,405.42 = 204,094.66 : x
  2. Step 2: Convert to fraction form
    470,534.84/705,405.42 = 204,094.66/x
  3. Step 3: Cross multiply
    470,534.84x = 705,405.42 × 204,094.66
  4. Step 4: Simplify right side
    470,534.84x = 143,969,479,357.06
  5. Step 5: Solve for x
    x = 143,969,479,357.06/470,534.84
  6. Step 6: Final answer
    x = 305,969.86

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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.