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Finding the Fourth Proportional to 455,906.40, 682,875.45 and 296,474.10

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Solution

The fourth proportional to 455,906.40, 682,875.45 and 296,474.10 is: 444,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,906.40 : 682,875.45 = 296,474.10 : x
  2. Step 2: Convert to fraction form
    455,906.40/682,875.45 = 296,474.10/x
  3. Step 3: Cross multiply
    455,906.40x = 682,875.45 × 296,474.10
  4. Step 4: Simplify right side
    455,906.40x = 202,454,884,450.85
  5. Step 5: Solve for x
    x = 202,454,884,450.85/455,906.40
  6. Step 6: Final answer
    x = 444,071.16

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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.