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Finding the Fourth Proportional to 462,839.83, 638,778.05 and 258,902.08

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Solution

The fourth proportional to 462,839.83, 638,778.05 and 258,902.08 is: 357,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,839.83 : 638,778.05 = 258,902.08 : x
  2. Step 2: Convert to fraction form
    462,839.83/638,778.05 = 258,902.08/x
  3. Step 3: Cross multiply
    462,839.83x = 638,778.05 × 258,902.08
  4. Step 4: Simplify right side
    462,839.83x = 165,380,961,314.94
  5. Step 5: Solve for x
    x = 165,380,961,314.94/462,839.83
  6. Step 6: Final answer
    x = 357,317.92

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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.