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Finding the Fourth Proportional to 326,285.84, 450,467.52 and 205,530.64

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Solution

The fourth proportional to 326,285.84, 450,467.52 and 205,530.64 is: 283,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,285.84 : 450,467.52 = 205,530.64 : x
  2. Step 2: Convert to fraction form
    326,285.84/450,467.52 = 205,530.64/x
  3. Step 3: Cross multiply
    326,285.84x = 450,467.52 × 205,530.64
  4. Step 4: Simplify right side
    326,285.84x = 92,584,877,684.81
  5. Step 5: Solve for x
    x = 92,584,877,684.81/326,285.84
  6. Step 6: Final answer
    x = 283,753.89

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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.