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Finding the Fourth Proportional to 326,772.40, 450,813.66 and 205,700.08

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Solution

The fourth proportional to 326,772.40, 450,813.66 and 205,700.08 is: 283,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,772.40 : 450,813.66 = 205,700.08 : x
  2. Step 2: Convert to fraction form
    326,772.40/450,813.66 = 205,700.08/x
  3. Step 3: Cross multiply
    326,772.40x = 450,813.66 × 205,700.08
  4. Step 4: Simplify right side
    326,772.40x = 92,732,405,927.09
  5. Step 5: Solve for x
    x = 92,732,405,927.09/326,772.40
  6. Step 6: Final answer
    x = 283,782.86

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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.