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Finding the Fourth Proportional to 470,568.96, 649,399.68 and 269,429.76

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Solution

The fourth proportional to 470,568.96, 649,399.68 and 269,429.76 is: 371,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,568.96 : 649,399.68 = 269,429.76 : x
  2. Step 2: Convert to fraction form
    470,568.96/649,399.68 = 269,429.76/x
  3. Step 3: Cross multiply
    470,568.96x = 649,399.68 × 269,429.76
  4. Step 4: Simplify right side
    470,568.96x = 174,967,599,926.48
  5. Step 5: Solve for x
    x = 174,967,599,926.48/470,568.96
  6. Step 6: Final answer
    x = 371,821.38

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1.5x scale

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.