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Finding the Fourth Proportional to 418,821, 628,433.10 and 208,477.32

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Solution

The fourth proportional to 418,821, 628,433.10 and 208,477.32 is: 312,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,821 : 628,433.10 = 208,477.32 : x
  2. Step 2: Convert to fraction form
    418,821/628,433.10 = 208,477.32/x
  3. Step 3: Cross multiply
    418,821x = 628,433.10 × 208,477.32
  4. Step 4: Simplify right side
    418,821x = 131,014,048,487.29
  5. Step 5: Solve for x
    x = 131,014,048,487.29/418,821
  6. Step 6: Final answer
    x = 312,816.33

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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.