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Finding the Fourth Proportional to 342,402.40, 472,666.66 and 204,629.96

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Solution

The fourth proportional to 342,402.40, 472,666.66 and 204,629.96 is: 282,479.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,402.40 : 472,666.66 = 204,629.96 : x
  2. Step 2: Convert to fraction form
    342,402.40/472,666.66 = 204,629.96/x
  3. Step 3: Cross multiply
    342,402.40x = 472,666.66 × 204,629.96
  4. Step 4: Simplify right side
    342,402.40x = 96,721,759,729.13
  5. Step 5: Solve for x
    x = 96,721,759,729.13/342,402.40
  6. Step 6: Final answer
    x = 282,479.79

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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.