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Finding the Fourth Proportional to 642,692.93, 964,123.23 and 237,830.03

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Solution

The fourth proportional to 642,692.93, 964,123.23 and 237,830.03 is: 356,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,692.93 : 964,123.23 = 237,830.03 : x
  2. Step 2: Convert to fraction form
    642,692.93/964,123.23 = 237,830.03/x
  3. Step 3: Cross multiply
    642,692.93x = 964,123.23 × 237,830.03
  4. Step 4: Simplify right side
    642,692.93x = 229,297,451,893.98
  5. Step 5: Solve for x
    x = 229,297,451,893.98/642,692.93
  6. Step 6: Final answer
    x = 356,776.06

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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.