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Finding the Fourth Proportional to 398,087.28, 596,692.80 and 173,185.92

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Solution

The fourth proportional to 398,087.28, 596,692.80 and 173,185.92 is: 259,588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,087.28 : 596,692.80 = 173,185.92 : x
  2. Step 2: Convert to fraction form
    398,087.28/596,692.80 = 173,185.92/x
  3. Step 3: Cross multiply
    398,087.28x = 596,692.80 × 173,185.92
  4. Step 4: Simplify right side
    398,087.28x = 103,338,791,525.38
  5. Step 5: Solve for x
    x = 103,338,791,525.38/398,087.28
  6. Step 6: Final answer
    x = 259,588.28

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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.