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Finding the Fourth Proportional to 430,692.80, 646,185.31 and 190,774.45

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Solution

The fourth proportional to 430,692.80, 646,185.31 and 190,774.45 is: 286,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,692.80 : 646,185.31 = 190,774.45 : x
  2. Step 2: Convert to fraction form
    430,692.80/646,185.31 = 190,774.45/x
  3. Step 3: Cross multiply
    430,692.80x = 646,185.31 × 190,774.45
  4. Step 4: Simplify right side
    430,692.80x = 123,275,645,020.93
  5. Step 5: Solve for x
    x = 123,275,645,020.93/430,692.80
  6. Step 6: Final answer
    x = 286,226.39

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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.