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Finding the Fourth Proportional to 364,827.45, 547,243.01 and 164,913.78

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Solution

The fourth proportional to 364,827.45, 547,243.01 and 164,913.78 is: 247,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,827.45 : 547,243.01 = 164,913.78 : x
  2. Step 2: Convert to fraction form
    364,827.45/547,243.01 = 164,913.78/x
  3. Step 3: Cross multiply
    364,827.45x = 547,243.01 × 164,913.78
  4. Step 4: Simplify right side
    364,827.45x = 90,247,912,533.11
  5. Step 5: Solve for x
    x = 90,247,912,533.11/364,827.45
  6. Step 6: Final answer
    x = 247,371.50

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Why These Related Problems?

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