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Finding the Fourth Proportional to 405,769, 560,003.06 and 233,692.60

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Solution

The fourth proportional to 405,769, 560,003.06 and 233,692.60 is: 322,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,769 : 560,003.06 = 233,692.60 : x
  2. Step 2: Convert to fraction form
    405,769/560,003.06 = 233,692.60/x
  3. Step 3: Cross multiply
    405,769x = 560,003.06 × 233,692.60
  4. Step 4: Simplify right side
    405,769x = 130,868,571,099.36
  5. Step 5: Solve for x
    x = 130,868,571,099.36/405,769
  6. Step 6: Final answer
    x = 322,519.88

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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.