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Finding the Fourth Proportional to 342,882.62, 473,409.24 and 214,017.41

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Solution

The fourth proportional to 342,882.62, 473,409.24 and 214,017.41 is: 295,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,882.62 : 473,409.24 = 214,017.41 : x
  2. Step 2: Convert to fraction form
    342,882.62/473,409.24 = 214,017.41/x
  3. Step 3: Cross multiply
    342,882.62x = 473,409.24 × 214,017.41
  4. Step 4: Simplify right side
    342,882.62x = 101,317,818,336.75
  5. Step 5: Solve for x
    x = 101,317,818,336.75/342,882.62
  6. Step 6: Final answer
    x = 295,488.35

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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.