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Finding the Fourth Proportional to 516,853.40, 774,704.10 and 201,205.40

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Solution

The fourth proportional to 516,853.40, 774,704.10 and 201,205.40 is: 301,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,853.40 : 774,704.10 = 201,205.40 : x
  2. Step 2: Convert to fraction form
    516,853.40/774,704.10 = 201,205.40/x
  3. Step 3: Cross multiply
    516,853.40x = 774,704.10 × 201,205.40
  4. Step 4: Simplify right side
    516,853.40x = 155,874,648,322.14
  5. Step 5: Solve for x
    x = 155,874,648,322.14/516,853.40
  6. Step 6: Final answer
    x = 301,583.87

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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.