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Finding the Fourth Proportional to 364,004.80, 545,877.60 and 164,420.80

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Solution

The fourth proportional to 364,004.80, 545,877.60 and 164,420.80 is: 246,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,004.80 : 545,877.60 = 164,420.80 : x
  2. Step 2: Convert to fraction form
    364,004.80/545,877.60 = 164,420.80/x
  3. Step 3: Cross multiply
    364,004.80x = 545,877.60 × 164,420.80
  4. Step 4: Simplify right side
    364,004.80x = 89,753,631,694.08
  5. Step 5: Solve for x
    x = 89,753,631,694.08/364,004.80
  6. Step 6: Final answer
    x = 246,572.66

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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.