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Finding the Fourth Proportional to 266,402.48, 399,692.28 and 177,406.16

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Solution

The fourth proportional to 266,402.48, 399,692.28 and 177,406.16 is: 266,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,402.48 : 399,692.28 = 177,406.16 : x
  2. Step 2: Convert to fraction form
    266,402.48/399,692.28 = 177,406.16/x
  3. Step 3: Cross multiply
    266,402.48x = 399,692.28 × 177,406.16
  4. Step 4: Simplify right side
    266,402.48x = 70,907,872,576.44
  5. Step 5: Solve for x
    x = 70,907,872,576.44/266,402.48
  6. Step 6: Final answer
    x = 266,168.22

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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.