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Finding the Fourth Proportional to 520,020, 780,004.49 and 200,324.34

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Solution

The fourth proportional to 520,020, 780,004.49 and 200,324.34 is: 300,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,020 : 780,004.49 = 200,324.34 : x
  2. Step 2: Convert to fraction form
    520,020/780,004.49 = 200,324.34/x
  3. Step 3: Cross multiply
    520,020x = 780,004.49 × 200,324.34
  4. Step 4: Simplify right side
    520,020x = 156,253,883,654.67
  5. Step 5: Solve for x
    x = 156,253,883,654.67/520,020
  6. Step 6: Final answer
    x = 300,476.68

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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.