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Finding the Fourth Proportional to 384,703.20, 577,054.80 and 218,815.20

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Solution

The fourth proportional to 384,703.20, 577,054.80 and 218,815.20 is: 328,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,703.20 : 577,054.80 = 218,815.20 : x
  2. Step 2: Convert to fraction form
    384,703.20/577,054.80 = 218,815.20/x
  3. Step 3: Cross multiply
    384,703.20x = 577,054.80 × 218,815.20
  4. Step 4: Simplify right side
    384,703.20x = 126,268,361,472.96
  5. Step 5: Solve for x
    x = 126,268,361,472.96/384,703.20
  6. Step 6: Final answer
    x = 328,222.80

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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.