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Finding the Fourth Proportional to 326,773.40, 450,815.04 and 205,701.08

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Solution

The fourth proportional to 326,773.40, 450,815.04 and 205,701.08 is: 283,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,773.40 : 450,815.04 = 205,701.08 : x
  2. Step 2: Convert to fraction form
    326,773.40/450,815.04 = 205,701.08/x
  3. Step 3: Cross multiply
    326,773.40x = 450,815.04 × 205,701.08
  4. Step 4: Simplify right side
    326,773.40x = 92,733,140,608.24
  5. Step 5: Solve for x
    x = 92,733,140,608.24/326,773.40
  6. Step 6: Final answer
    x = 283,784.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.