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Finding the Fourth Proportional to 455,142.80, 628,075.71 and 261,414.23

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Solution

The fourth proportional to 455,142.80, 628,075.71 and 261,414.23 is: 360,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,142.80 : 628,075.71 = 261,414.23 : x
  2. Step 2: Convert to fraction form
    455,142.80/628,075.71 = 261,414.23/x
  3. Step 3: Cross multiply
    455,142.80x = 628,075.71 × 261,414.23
  4. Step 4: Simplify right side
    455,142.80x = 164,187,924,970.98
  5. Step 5: Solve for x
    x = 164,187,924,970.98/455,142.80
  6. Step 6: Final answer
    x = 360,739.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.