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Finding the Fourth Proportional to 300,699.50, 414,966.12 and 166,563.50

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Solution

The fourth proportional to 300,699.50, 414,966.12 and 166,563.50 is: 229,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,699.50 : 414,966.12 = 166,563.50 : x
  2. Step 2: Convert to fraction form
    300,699.50/414,966.12 = 166,563.50/x
  3. Step 3: Cross multiply
    300,699.50x = 414,966.12 × 166,563.50
  4. Step 4: Simplify right side
    300,699.50x = 69,118,209,328.62
  5. Step 5: Solve for x
    x = 69,118,209,328.62/300,699.50
  6. Step 6: Final answer
    x = 229,858.08

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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.