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Finding the Fourth Proportional to 462,438, 638,164.44 and 250,470

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Solution

The fourth proportional to 462,438, 638,164.44 and 250,470 is: 345,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,438 : 638,164.44 = 250,470 : x
  2. Step 2: Convert to fraction form
    462,438/638,164.44 = 250,470/x
  3. Step 3: Cross multiply
    462,438x = 638,164.44 × 250,470
  4. Step 4: Simplify right side
    462,438x = 159,841,047,286.80
  5. Step 5: Solve for x
    x = 159,841,047,286.80/462,438
  6. Step 6: Final answer
    x = 345,648.60

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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.