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Finding the Fourth Proportional to 375,181.24, 517,750.02 and 205,415.32

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Solution

The fourth proportional to 375,181.24, 517,750.02 and 205,415.32 is: 283,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,181.24 : 517,750.02 = 205,415.32 : x
  2. Step 2: Convert to fraction form
    375,181.24/517,750.02 = 205,415.32/x
  3. Step 3: Cross multiply
    375,181.24x = 517,750.02 × 205,415.32
  4. Step 4: Simplify right side
    375,181.24x = 106,353,786,038.31
  5. Step 5: Solve for x
    x = 106,353,786,038.31/375,181.24
  6. Step 6: Final answer
    x = 283,473.09

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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.