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Finding the Fourth Proportional to 520,425, 718,186.50 and 281,961

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Solution

The fourth proportional to 520,425, 718,186.50 and 281,961 is: 389,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,425 : 718,186.50 = 281,961 : x
  2. Step 2: Convert to fraction form
    520,425/718,186.50 = 281,961/x
  3. Step 3: Cross multiply
    520,425x = 718,186.50 × 281,961
  4. Step 4: Simplify right side
    520,425x = 202,500,583,726.50
  5. Step 5: Solve for x
    x = 202,500,583,726.50/520,425
  6. Step 6: Final answer
    x = 389,106.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.