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Finding the Fourth Proportional to 561,206.40, 774,481.44 and 306,561.76

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Solution

The fourth proportional to 561,206.40, 774,481.44 and 306,561.76 is: 423,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,206.40 : 774,481.44 = 306,561.76 : x
  2. Step 2: Convert to fraction form
    561,206.40/774,481.44 = 306,561.76/x
  3. Step 3: Cross multiply
    561,206.40x = 774,481.44 × 306,561.76
  4. Step 4: Simplify right side
    561,206.40x = 237,426,393,333.73
  5. Step 5: Solve for x
    x = 237,426,393,333.73/561,206.40
  6. Step 6: Final answer
    x = 423,064.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.