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Finding the Fourth Proportional to 413,852.80, 620,692.80 and 177,203.20

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Solution

The fourth proportional to 413,852.80, 620,692.80 and 177,203.20 is: 265,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,852.80 : 620,692.80 = 177,203.20 : x
  2. Step 2: Convert to fraction form
    413,852.80/620,692.80 = 177,203.20/x
  3. Step 3: Cross multiply
    413,852.80x = 620,692.80 × 177,203.20
  4. Step 4: Simplify right side
    413,852.80x = 109,988,750,376.96
  5. Step 5: Solve for x
    x = 109,988,750,376.96/413,852.80
  6. Step 6: Final answer
    x = 265,767.81

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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.