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Finding the Fourth Proportional to 287,457.78, 431,269.89 and 118,947

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Solution

The fourth proportional to 287,457.78, 431,269.89 and 118,947 is: 178,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,457.78 : 431,269.89 = 118,947 : x
  2. Step 2: Convert to fraction form
    287,457.78/431,269.89 = 118,947/x
  3. Step 3: Cross multiply
    287,457.78x = 431,269.89 × 118,947
  4. Step 4: Simplify right side
    287,457.78x = 51,298,259,605.83
  5. Step 5: Solve for x
    x = 51,298,259,605.83/287,457.78
  6. Step 6: Final answer
    x = 178,454.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.