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Finding the Fourth Proportional to 1,305,228, 1,957,842 and 463,812.96

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Solution

The fourth proportional to 1,305,228, 1,957,842 and 463,812.96 is: 695,719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305,228 : 1,957,842 = 463,812.96 : x
  2. Step 2: Convert to fraction form
    1,305,228/1,957,842 = 463,812.96/x
  3. Step 3: Cross multiply
    1,305,228x = 1,957,842 × 463,812.96
  4. Step 4: Simplify right side
    1,305,228x = 908,072,493,232.32
  5. Step 5: Solve for x
    x = 908,072,493,232.32/1,305,228
  6. Step 6: Final answer
    x = 695,719.44

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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.