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Finding the Fourth Proportional to 326,347.48, 450,471.90 and 205,692.04

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Solution

The fourth proportional to 326,347.48, 450,471.90 and 205,692.04 is: 283,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,347.48 : 450,471.90 = 205,692.04 : x
  2. Step 2: Convert to fraction form
    326,347.48/450,471.90 = 205,692.04/x
  3. Step 3: Cross multiply
    326,347.48x = 450,471.90 × 205,692.04
  4. Step 4: Simplify right side
    326,347.48x = 92,658,484,073.68
  5. Step 5: Solve for x
    x = 92,658,484,073.68/326,347.48
  6. Step 6: Final answer
    x = 283,925.85

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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.