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Finding the Fourth Proportional to 529,732.19, 795,097.64 and 193,098.21

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Solution

The fourth proportional to 529,732.19, 795,097.64 and 193,098.21 is: 289,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,732.19 : 795,097.64 = 193,098.21 : x
  2. Step 2: Convert to fraction form
    529,732.19/795,097.64 = 193,098.21/x
  3. Step 3: Cross multiply
    529,732.19x = 795,097.64 × 193,098.21
  4. Step 4: Simplify right side
    529,732.19x = 153,531,930,093.73
  5. Step 5: Solve for x
    x = 153,531,930,093.73/529,732.19
  6. Step 6: Final answer
    x = 289,829.34

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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.