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Finding the Fourth Proportional to 462,852.73, 638,706.70 and 258,868.33

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Solution

The fourth proportional to 462,852.73, 638,706.70 and 258,868.33 is: 357,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,852.73 : 638,706.70 = 258,868.33 : x
  2. Step 2: Convert to fraction form
    462,852.73/638,706.70 = 258,868.33/x
  3. Step 3: Cross multiply
    462,852.73x = 638,706.70 × 258,868.33
  4. Step 4: Simplify right side
    462,852.73x = 165,340,936,788.81
  5. Step 5: Solve for x
    x = 165,340,936,788.81/462,852.73
  6. Step 6: Final answer
    x = 357,221.48

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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.