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Finding the Fourth Proportional to 470,792.81, 649,686.42 and 255,938.29

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Solution

The fourth proportional to 470,792.81, 649,686.42 and 255,938.29 is: 353,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,792.81 : 649,686.42 = 255,938.29 : x
  2. Step 2: Convert to fraction form
    470,792.81/649,686.42 = 255,938.29/x
  3. Step 3: Cross multiply
    470,792.81x = 649,686.42 × 255,938.29
  4. Step 4: Simplify right side
    470,792.81x = 166,279,631,371.02
  5. Step 5: Solve for x
    x = 166,279,631,371.02/470,792.81
  6. Step 6: Final answer
    x = 353,190.68

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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.