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Finding the Fourth Proportional to 652,949.40, 978,257.70 and 533,976.60

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Solution

The fourth proportional to 652,949.40, 978,257.70 and 533,976.60 is: 800,011.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,949.40 : 978,257.70 = 533,976.60 : x
  2. Step 2: Convert to fraction form
    652,949.40/978,257.70 = 533,976.60/x
  3. Step 3: Cross multiply
    652,949.40x = 978,257.70 × 533,976.60
  4. Step 4: Simplify right side
    652,949.40x = 522,366,720,569.82
  5. Step 5: Solve for x
    x = 522,366,720,569.82/652,949.40
  6. Step 6: Final answer
    x = 800,011.03

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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.