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Finding the Fourth Proportional to 652,109.40, 978,164.10 and 494,645.40

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Solution

The fourth proportional to 652,109.40, 978,164.10 and 494,645.40 is: 741,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,109.40 : 978,164.10 = 494,645.40 : x
  2. Step 2: Convert to fraction form
    652,109.40/978,164.10 = 494,645.40/x
  3. Step 3: Cross multiply
    652,109.40x = 978,164.10 × 494,645.40
  4. Step 4: Simplify right side
    652,109.40x = 483,844,372,510.14
  5. Step 5: Solve for x
    x = 483,844,372,510.14/652,109.40
  6. Step 6: Final answer
    x = 741,968.10

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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.