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Finding the Fourth Proportional to 462,851.73, 638,705.32 and 258,867.33

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Solution

The fourth proportional to 462,851.73, 638,705.32 and 258,867.33 is: 357,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,851.73 : 638,705.32 = 258,867.33 : x
  2. Step 2: Convert to fraction form
    462,851.73/638,705.32 = 258,867.33/x
  3. Step 3: Cross multiply
    462,851.73x = 638,705.32 × 258,867.33
  4. Step 4: Simplify right side
    462,851.73x = 165,339,941,043.46
  5. Step 5: Solve for x
    x = 165,339,941,043.46/462,851.73
  6. Step 6: Final answer
    x = 357,220.10

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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.