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Finding the Fourth Proportional to 342,433.40, 472,748.12 and 206,501.77

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Solution

The fourth proportional to 342,433.40, 472,748.12 and 206,501.77 is: 285,087.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,433.40 : 472,748.12 = 206,501.77 : x
  2. Step 2: Convert to fraction form
    342,433.40/472,748.12 = 206,501.77/x
  3. Step 3: Cross multiply
    342,433.40x = 472,748.12 × 206,501.77
  4. Step 4: Simplify right side
    342,433.40x = 97,623,323,876.98
  5. Step 5: Solve for x
    x = 97,623,323,876.98/342,433.40
  6. Step 6: Final answer
    x = 285,087.04

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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.