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Finding the Fourth Proportional to 462,907.63, 638,836.60 and 258,961.95

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Solution

The fourth proportional to 462,907.63, 638,836.60 and 258,961.95 is: 357,380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,907.63 : 638,836.60 = 258,961.95 : x
  2. Step 2: Convert to fraction form
    462,907.63/638,836.60 = 258,961.95/x
  3. Step 3: Cross multiply
    462,907.63x = 638,836.60 × 258,961.95
  4. Step 4: Simplify right side
    462,907.63x = 165,434,371,667.37
  5. Step 5: Solve for x
    x = 165,434,371,667.37/462,907.63
  6. Step 6: Final answer
    x = 357,380.96

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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.