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Finding the Fourth Proportional to 363,999.80, 545,870.10 and 164,415.80

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Solution

The fourth proportional to 363,999.80, 545,870.10 and 164,415.80 is: 246,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,999.80 : 545,870.10 = 164,415.80 : x
  2. Step 2: Convert to fraction form
    363,999.80/545,870.10 = 164,415.80/x
  3. Step 3: Cross multiply
    363,999.80x = 545,870.10 × 164,415.80
  4. Step 4: Simplify right side
    363,999.80x = 89,749,669,187.58
  5. Step 5: Solve for x
    x = 89,749,669,187.58/363,999.80
  6. Step 6: Final answer
    x = 246,565.16

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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.