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Finding the Fourth Proportional to 287,830.86, 397,316.01 and 216,418.26

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Solution

The fourth proportional to 287,830.86, 397,316.01 and 216,418.26 is: 298,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,830.86 : 397,316.01 = 216,418.26 : x
  2. Step 2: Convert to fraction form
    287,830.86/397,316.01 = 216,418.26/x
  3. Step 3: Cross multiply
    287,830.86x = 397,316.01 × 216,418.26
  4. Step 4: Simplify right side
    287,830.86x = 85,986,439,554.34
  5. Step 5: Solve for x
    x = 85,986,439,554.34/287,830.86
  6. Step 6: Final answer
    x = 298,739.47

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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.