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Finding the Fourth Proportional to 342,613.17, 472,985.24 and 213,590.97

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Solution

The fourth proportional to 342,613.17, 472,985.24 and 213,590.97 is: 294,867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,613.17 : 472,985.24 = 213,590.97 : x
  2. Step 2: Convert to fraction form
    342,613.17/472,985.24 = 213,590.97/x
  3. Step 3: Cross multiply
    342,613.17x = 472,985.24 × 213,590.97
  4. Step 4: Simplify right side
    342,613.17x = 101,025,376,207.28
  5. Step 5: Solve for x
    x = 101,025,376,207.28/342,613.17
  6. Step 6: Final answer
    x = 294,867.17

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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.