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Finding the Fourth Proportional to 470,515.87, 705,377.06 and 204,075.78

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Solution

The fourth proportional to 470,515.87, 705,377.06 and 204,075.78 is: 305,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,515.87 : 705,377.06 = 204,075.78 : x
  2. Step 2: Convert to fraction form
    470,515.87/705,377.06 = 204,075.78/x
  3. Step 3: Cross multiply
    470,515.87x = 705,377.06 × 204,075.78
  4. Step 4: Simplify right side
    470,515.87x = 143,950,370,186.72
  5. Step 5: Solve for x
    x = 143,950,370,186.72/470,515.87
  6. Step 6: Final answer
    x = 305,941.58

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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.