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Finding the Fourth Proportional to 507,648.25, 761,306.28 and 237,692.83

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Solution

The fourth proportional to 507,648.25, 761,306.28 and 237,692.83 is: 356,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,648.25 : 761,306.28 = 237,692.83 : x
  2. Step 2: Convert to fraction form
    507,648.25/761,306.28 = 237,692.83/x
  3. Step 3: Cross multiply
    507,648.25x = 761,306.28 × 237,692.83
  4. Step 4: Simplify right side
    507,648.25x = 180,957,044,189.97
  5. Step 5: Solve for x
    x = 180,957,044,189.97/507,648.25
  6. Step 6: Final answer
    x = 356,461.48

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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.