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Finding the Fourth Proportional to 455,800.97, 683,263.24 and 306,083

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Solution

The fourth proportional to 455,800.97, 683,263.24 and 306,083 is: 458,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,800.97 : 683,263.24 = 306,083 : x
  2. Step 2: Convert to fraction form
    455,800.97/683,263.24 = 306,083/x
  3. Step 3: Cross multiply
    455,800.97x = 683,263.24 × 306,083
  4. Step 4: Simplify right side
    455,800.97x = 209,135,262,288.92
  5. Step 5: Solve for x
    x = 209,135,262,288.92/455,800.97
  6. Step 6: Final answer
    x = 458,830.23

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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.