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Finding the Fourth Proportional to 326,054.16, 450,147.78 and 205,298.96

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Solution

The fourth proportional to 326,054.16, 450,147.78 and 205,298.96 is: 283,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,054.16 : 450,147.78 = 205,298.96 : x
  2. Step 2: Convert to fraction form
    326,054.16/450,147.78 = 205,298.96/x
  3. Step 3: Cross multiply
    326,054.16x = 450,147.78 × 205,298.96
  4. Step 4: Simplify right side
    326,054.16x = 92,414,868,829.57
  5. Step 5: Solve for x
    x = 92,414,868,829.57/326,054.16
  6. Step 6: Final answer
    x = 283,434.10

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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.