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Finding the Fourth Proportional to 652,506.35, 978,443.09 and 382,722.65

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Solution

The fourth proportional to 652,506.35, 978,443.09 and 382,722.65 is: 573,898.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,506.35 : 978,443.09 = 382,722.65 : x
  2. Step 2: Convert to fraction form
    652,506.35/978,443.09 = 382,722.65/x
  3. Step 3: Cross multiply
    652,506.35x = 978,443.09 × 382,722.65
  4. Step 4: Simplify right side
    652,506.35x = 374,472,325,473.16
  5. Step 5: Solve for x
    x = 374,472,325,473.16/652,506.35
  6. Step 6: Final answer
    x = 573,898.37

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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.