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Finding the Fourth Proportional to 288,274.95, 397,743.62 and 175,075.83

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Solution

The fourth proportional to 288,274.95, 397,743.62 and 175,075.83 is: 241,558.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,274.95 : 397,743.62 = 175,075.83 : x
  2. Step 2: Convert to fraction form
    288,274.95/397,743.62 = 175,075.83/x
  3. Step 3: Cross multiply
    288,274.95x = 397,743.62 × 175,075.83
  4. Step 4: Simplify right side
    288,274.95x = 69,635,293,523.33
  5. Step 5: Solve for x
    x = 69,635,293,523.33/288,274.95
  6. Step 6: Final answer
    x = 241,558.60

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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.