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Finding the Fourth Proportional to 499,852.36, 749,809.69 and 200,294.01

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Solution

The fourth proportional to 499,852.36, 749,809.69 and 200,294.01 is: 300,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,852.36 : 749,809.69 = 200,294.01 : x
  2. Step 2: Convert to fraction form
    499,852.36/749,809.69 = 200,294.01/x
  3. Step 3: Cross multiply
    499,852.36x = 749,809.69 × 200,294.01
  4. Step 4: Simplify right side
    499,852.36x = 150,182,389,546.96
  5. Step 5: Solve for x
    x = 150,182,389,546.96/499,852.36
  6. Step 6: Final answer
    x = 300,453.50

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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.