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Finding the Fourth Proportional to 316,708.62, 472,684.26 and 273,824.34

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Solution

The fourth proportional to 316,708.62, 472,684.26 and 273,824.34 is: 408,679.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,708.62 : 472,684.26 = 273,824.34 : x
  2. Step 2: Convert to fraction form
    316,708.62/472,684.26 = 273,824.34/x
  3. Step 3: Cross multiply
    316,708.62x = 472,684.26 × 273,824.34
  4. Step 4: Simplify right side
    316,708.62x = 129,432,455,522.89
  5. Step 5: Solve for x
    x = 129,432,455,522.89/316,708.62
  6. Step 6: Final answer
    x = 408,679.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.