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Finding the Fourth Proportional to 470,948.16, 649,914.88 and 269,744

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Solution

The fourth proportional to 470,948.16, 649,914.88 and 269,744 is: 372,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,948.16 : 649,914.88 = 269,744 : x
  2. Step 2: Convert to fraction form
    470,948.16/649,914.88 = 269,744/x
  3. Step 3: Cross multiply
    470,948.16x = 649,914.88 × 269,744
  4. Step 4: Simplify right side
    470,948.16x = 175,310,639,390.72
  5. Step 5: Solve for x
    x = 175,310,639,390.72/470,948.16
  6. Step 6: Final answer
    x = 372,250.40

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