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Finding the Fourth Proportional to 470,900.52, 705,952.62 and 204,459.48

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Solution

The fourth proportional to 470,900.52, 705,952.62 and 204,459.48 is: 306,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,900.52 : 705,952.62 = 204,459.48 : x
  2. Step 2: Convert to fraction form
    470,900.52/705,952.62 = 204,459.48/x
  3. Step 3: Cross multiply
    470,900.52x = 705,952.62 × 204,459.48
  4. Step 4: Simplify right side
    470,900.52x = 144,338,705,589.84
  5. Step 5: Solve for x
    x = 144,338,705,589.84/470,900.52
  6. Step 6: Final answer
    x = 306,516.34

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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.