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Finding the Fourth Proportional to 520,138.90, 780,208.35 and 204,490.90

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Solution

The fourth proportional to 520,138.90, 780,208.35 and 204,490.90 is: 306,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,138.90 : 780,208.35 = 204,490.90 : x
  2. Step 2: Convert to fraction form
    520,138.90/780,208.35 = 204,490.90/x
  3. Step 3: Cross multiply
    520,138.90x = 780,208.35 × 204,490.90
  4. Step 4: Simplify right side
    520,138.90x = 159,545,507,679.02
  5. Step 5: Solve for x
    x = 159,545,507,679.02/520,138.90
  6. Step 6: Final answer
    x = 306,736.35

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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.