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Finding the Fourth Proportional to 652,095.90, 978,143.85 and 494,631.90

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Solution

The fourth proportional to 652,095.90, 978,143.85 and 494,631.90 is: 741,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,095.90 : 978,143.85 = 494,631.90 : x
  2. Step 2: Convert to fraction form
    652,095.90/978,143.85 = 494,631.90/x
  3. Step 3: Cross multiply
    652,095.90x = 978,143.85 × 494,631.90
  4. Step 4: Simplify right side
    652,095.90x = 483,821,150,998.82
  5. Step 5: Solve for x
    x = 483,821,150,998.82/652,095.90
  6. Step 6: Final answer
    x = 741,947.85

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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.