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Finding the Fourth Proportional to 470,334.53, 705,297.67 and 170,715.53

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Solution

The fourth proportional to 470,334.53, 705,297.67 and 170,715.53 is: 255,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,334.53 : 705,297.67 = 170,715.53 : x
  2. Step 2: Convert to fraction form
    470,334.53/705,297.67 = 170,715.53/x
  3. Step 3: Cross multiply
    470,334.53x = 705,297.67 × 170,715.53
  4. Step 4: Simplify right side
    470,334.53x = 120,405,261,588.54
  5. Step 5: Solve for x
    x = 120,405,261,588.54/470,334.53
  6. Step 6: Final answer
    x = 255,999.20

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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.