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Finding the Fourth Proportional to 507,546, 761,370.44 and 187,782.30

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Solution

The fourth proportional to 507,546, 761,370.44 and 187,782.30 is: 281,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,546 : 761,370.44 = 187,782.30 : x
  2. Step 2: Convert to fraction form
    507,546/761,370.44 = 187,782.30/x
  3. Step 3: Cross multiply
    507,546x = 761,370.44 × 187,782.30
  4. Step 4: Simplify right side
    507,546x = 142,971,891,436.30
  5. Step 5: Solve for x
    x = 142,971,891,436.30/507,546
  6. Step 6: Final answer
    x = 281,692.48

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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.