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Finding the Fourth Proportional to 520,116.45, 780,324.12 and 216,451.50

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Solution

The fourth proportional to 520,116.45, 780,324.12 and 216,451.50 is: 324,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,116.45 : 780,324.12 = 216,451.50 : x
  2. Step 2: Convert to fraction form
    520,116.45/780,324.12 = 216,451.50/x
  3. Step 3: Cross multiply
    520,116.45x = 780,324.12 × 216,451.50
  4. Step 4: Simplify right side
    520,116.45x = 168,902,326,260.18
  5. Step 5: Solve for x
    x = 168,902,326,260.18/520,116.45
  6. Step 6: Final answer
    x = 324,739.44

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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.