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Finding the Fourth Proportional to 364,825.45, 547,240 and 164,911.78

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Solution

The fourth proportional to 364,825.45, 547,240 and 164,911.78 is: 247,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,825.45 : 547,240 = 164,911.78 : x
  2. Step 2: Convert to fraction form
    364,825.45/547,240 = 164,911.78/x
  3. Step 3: Cross multiply
    364,825.45x = 547,240 × 164,911.78
  4. Step 4: Simplify right side
    364,825.45x = 90,246,322,487.20
  5. Step 5: Solve for x
    x = 90,246,322,487.20/364,825.45
  6. Step 6: Final answer
    x = 247,368.49

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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.