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Finding the Fourth Proportional to 342,396.34, 472,658.29 and 204,623.87

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Solution

The fourth proportional to 342,396.34, 472,658.29 and 204,623.87 is: 282,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,396.34 : 472,658.29 = 204,623.87 : x
  2. Step 2: Convert to fraction form
    342,396.34/472,658.29 = 204,623.87/x
  3. Step 3: Cross multiply
    342,396.34x = 472,658.29 × 204,623.87
  4. Step 4: Simplify right side
    342,396.34x = 96,717,168,271.23
  5. Step 5: Solve for x
    x = 96,717,168,271.23/342,396.34
  6. Step 6: Final answer
    x = 282,471.38

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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.