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Finding the Fourth Proportional to 342,722.85, 473,608.17 and 257,692.29

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Solution

The fourth proportional to 342,722.85, 473,608.17 and 257,692.29 is: 356,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,722.85 : 473,608.17 = 257,692.29 : x
  2. Step 2: Convert to fraction form
    342,722.85/473,608.17 = 257,692.29/x
  3. Step 3: Cross multiply
    342,722.85x = 473,608.17 × 257,692.29
  4. Step 4: Simplify right side
    342,722.85x = 122,045,173,890.01
  5. Step 5: Solve for x
    x = 122,045,173,890.01/342,722.85
  6. Step 6: Final answer
    x = 356,104.57

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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.