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Finding the Fourth Proportional to 287,892.54, 397,292.31 and 160,564.86

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Solution

The fourth proportional to 287,892.54, 397,292.31 and 160,564.86 is: 221,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,892.54 : 397,292.31 = 160,564.86 : x
  2. Step 2: Convert to fraction form
    287,892.54/397,292.31 = 160,564.86/x
  3. Step 3: Cross multiply
    287,892.54x = 397,292.31 × 160,564.86
  4. Step 4: Simplify right side
    287,892.54x = 63,791,184,134.23
  5. Step 5: Solve for x
    x = 63,791,184,134.23/287,892.54
  6. Step 6: Final answer
    x = 221,579.84

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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.