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Finding the Fourth Proportional to 320,384.82, 480,577.26 and 120,750

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Solution

The fourth proportional to 320,384.82, 480,577.26 and 120,750 is: 181,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,384.82 : 480,577.26 = 120,750 : x
  2. Step 2: Convert to fraction form
    320,384.82/480,577.26 = 120,750/x
  3. Step 3: Cross multiply
    320,384.82x = 480,577.26 × 120,750
  4. Step 4: Simplify right side
    320,384.82x = 58,029,704,145
  5. Step 5: Solve for x
    x = 58,029,704,145/320,384.82
  6. Step 6: Final answer
    x = 181,125.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.