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Finding the Fourth Proportional to 470,651.49, 649,499.04 and 255,792.06

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Solution

The fourth proportional to 470,651.49, 649,499.04 and 255,792.06 is: 352,993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,651.49 : 649,499.04 = 255,792.06 : x
  2. Step 2: Convert to fraction form
    470,651.49/649,499.04 = 255,792.06/x
  3. Step 3: Cross multiply
    470,651.49x = 649,499.04 × 255,792.06
  4. Step 4: Simplify right side
    470,651.49x = 166,136,697,409.62
  5. Step 5: Solve for x
    x = 166,136,697,409.62/470,651.49
  6. Step 6: Final answer
    x = 352,993.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.