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Finding the Fourth Proportional to 468,381.60, 646,389.45 and 287,103.60

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Solution

The fourth proportional to 468,381.60, 646,389.45 and 287,103.60 is: 396,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,381.60 : 646,389.45 = 287,103.60 : x
  2. Step 2: Convert to fraction form
    468,381.60/646,389.45 = 287,103.60/x
  3. Step 3: Cross multiply
    468,381.60x = 646,389.45 × 287,103.60
  4. Step 4: Simplify right side
    468,381.60x = 185,580,738,097.02
  5. Step 5: Solve for x
    x = 185,580,738,097.02/468,381.60
  6. Step 6: Final answer
    x = 396,216.97

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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.