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Finding the Fourth Proportional to 470,522.12, 705,386.42 and 204,081.96

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Solution

The fourth proportional to 470,522.12, 705,386.42 and 204,081.96 is: 305,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,522.12 : 705,386.42 = 204,081.96 : x
  2. Step 2: Convert to fraction form
    470,522.12/705,386.42 = 204,081.96/x
  3. Step 3: Cross multiply
    470,522.12x = 705,386.42 × 204,081.96
  4. Step 4: Simplify right side
    470,522.12x = 143,956,642,130.57
  5. Step 5: Solve for x
    x = 143,956,642,130.57/470,522.12
  6. Step 6: Final answer
    x = 305,950.85

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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.