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Finding the Fourth Proportional to 516,387.34, 774,283.03 and 200,475.19

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Solution

The fourth proportional to 516,387.34, 774,283.03 and 200,475.19 is: 300,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,387.34 : 774,283.03 = 200,475.19 : x
  2. Step 2: Convert to fraction form
    516,387.34/774,283.03 = 200,475.19/x
  3. Step 3: Cross multiply
    516,387.34x = 774,283.03 × 200,475.19
  4. Step 4: Simplify right side
    516,387.34x = 155,224,537,553.03
  5. Step 5: Solve for x
    x = 155,224,537,553.03/516,387.34
  6. Step 6: Final answer
    x = 300,597.10

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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.