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Finding the Fourth Proportional to 342,166.55, 472,207.79 and 206,243.69

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Solution

The fourth proportional to 342,166.55, 472,207.79 and 206,243.69 is: 284,627.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,166.55 : 472,207.79 = 206,243.69 : x
  2. Step 2: Convert to fraction form
    342,166.55/472,207.79 = 206,243.69/x
  3. Step 3: Cross multiply
    342,166.55x = 472,207.79 × 206,243.69
  4. Step 4: Simplify right side
    342,166.55x = 97,389,875,210.92
  5. Step 5: Solve for x
    x = 97,389,875,210.92/342,166.55
  6. Step 6: Final answer
    x = 284,627.11

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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.