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Finding the Fourth Proportional to 628,899.14, 943,496.32 and 208,175

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Solution

The fourth proportional to 628,899.14, 943,496.32 and 208,175 is: 312,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,899.14 : 943,496.32 = 208,175 : x
  2. Step 2: Convert to fraction form
    628,899.14/943,496.32 = 208,175/x
  3. Step 3: Cross multiply
    628,899.14x = 943,496.32 × 208,175
  4. Step 4: Simplify right side
    628,899.14x = 196,412,346,416
  5. Step 5: Solve for x
    x = 196,412,346,416/628,899.14
  6. Step 6: Final answer
    x = 312,311.36

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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.