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Finding the Fourth Proportional to 326,692.64, 450,884.76 and 199,442

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Solution

The fourth proportional to 326,692.64, 450,884.76 and 199,442 is: 275,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,692.64 : 450,884.76 = 199,442 : x
  2. Step 2: Convert to fraction form
    326,692.64/450,884.76 = 199,442/x
  3. Step 3: Cross multiply
    326,692.64x = 450,884.76 × 199,442
  4. Step 4: Simplify right side
    326,692.64x = 89,925,358,303.92
  5. Step 5: Solve for x
    x = 89,925,358,303.92/326,692.64
  6. Step 6: Final answer
    x = 275,259.82

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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.