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Finding the Fourth Proportional to 648,998.60, 972,914.70 and 412,219.40

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Solution

The fourth proportional to 648,998.60, 972,914.70 and 412,219.40 is: 617,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,998.60 : 972,914.70 = 412,219.40 : x
  2. Step 2: Convert to fraction form
    648,998.60/972,914.70 = 412,219.40/x
  3. Step 3: Cross multiply
    648,998.60x = 972,914.70 × 412,219.40
  4. Step 4: Simplify right side
    648,998.60x = 401,054,313,885.18
  5. Step 5: Solve for x
    x = 401,054,313,885.18/648,998.60
  6. Step 6: Final answer
    x = 617,958.67

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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.