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Finding the Fourth Proportional to 364,041.44, 545,633.26 and 164,127.77

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Solution

The fourth proportional to 364,041.44, 545,633.26 and 164,127.77 is: 245,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,041.44 : 545,633.26 = 164,127.77 : x
  2. Step 2: Convert to fraction form
    364,041.44/545,633.26 = 164,127.77/x
  3. Step 3: Cross multiply
    364,041.44x = 545,633.26 × 164,127.77
  4. Step 4: Simplify right side
    364,041.44x = 89,553,570,032.49
  5. Step 5: Solve for x
    x = 89,553,570,032.49/364,041.44
  6. Step 6: Final answer
    x = 245,998.29

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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.