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Finding the Fourth Proportional to 495,692.55, 684,047.25 and 269,336.43

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Solution

The fourth proportional to 495,692.55, 684,047.25 and 269,336.43 is: 371,679.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,692.55 : 684,047.25 = 269,336.43 : x
  2. Step 2: Convert to fraction form
    495,692.55/684,047.25 = 269,336.43/x
  3. Step 3: Cross multiply
    495,692.55x = 684,047.25 × 269,336.43
  4. Step 4: Simplify right side
    495,692.55x = 184,238,844,266.32
  5. Step 5: Solve for x
    x = 184,238,844,266.32/495,692.55
  6. Step 6: Final answer
    x = 371,679.67

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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.