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Finding the Fourth Proportional to 299,393.88, 412,461.72 and 208,585.58

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Solution

The fourth proportional to 299,393.88, 412,461.72 and 208,585.58 is: 287,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,393.88 : 412,461.72 = 208,585.58 : x
  2. Step 2: Convert to fraction form
    299,393.88/412,461.72 = 208,585.58/x
  3. Step 3: Cross multiply
    299,393.88x = 412,461.72 × 208,585.58
  4. Step 4: Simplify right side
    299,393.88x = 86,033,567,094.00
  5. Step 5: Solve for x
    x = 86,033,567,094.00/299,393.88
  6. Step 6: Final answer
    x = 287,359.14

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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.