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Finding the Fourth Proportional to 652,286.30, 978,429.45 and 315,488.30

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Solution

The fourth proportional to 652,286.30, 978,429.45 and 315,488.30 is: 473,232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,286.30 : 978,429.45 = 315,488.30 : x
  2. Step 2: Convert to fraction form
    652,286.30/978,429.45 = 315,488.30/x
  3. Step 3: Cross multiply
    652,286.30x = 978,429.45 × 315,488.30
  4. Step 4: Simplify right side
    652,286.30x = 308,683,043,850.44
  5. Step 5: Solve for x
    x = 308,683,043,850.44/652,286.30
  6. Step 6: Final answer
    x = 473,232.45

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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.