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Finding the Fourth Proportional to 516,882.40, 774,747.60 and 201,234.40

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Solution

The fourth proportional to 516,882.40, 774,747.60 and 201,234.40 is: 301,627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,882.40 : 774,747.60 = 201,234.40 : x
  2. Step 2: Convert to fraction form
    516,882.40/774,747.60 = 201,234.40/x
  3. Step 3: Cross multiply
    516,882.40x = 774,747.60 × 201,234.40
  4. Step 4: Simplify right side
    516,882.40x = 155,905,868,437.44
  5. Step 5: Solve for x
    x = 155,905,868,437.44/516,882.40
  6. Step 6: Final answer
    x = 301,627.35

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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.