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Finding the Fourth Proportional to 455,993, 683,989.74 and 123,569

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Solution

The fourth proportional to 455,993, 683,989.74 and 123,569 is: 185,353.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,993 : 683,989.74 = 123,569 : x
  2. Step 2: Convert to fraction form
    455,993/683,989.74 = 123,569/x
  3. Step 3: Cross multiply
    455,993x = 683,989.74 × 123,569
  4. Step 4: Simplify right side
    455,993x = 84,519,928,182.06
  5. Step 5: Solve for x
    x = 84,519,928,182.06/455,993
  6. Step 6: Final answer
    x = 185,353.57

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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.