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Finding the Fourth Proportional to 462,496.70, 693,735.19 and 213,178.70

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Solution

The fourth proportional to 462,496.70, 693,735.19 and 213,178.70 is: 319,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,496.70 : 693,735.19 = 213,178.70 : x
  2. Step 2: Convert to fraction form
    462,496.70/693,735.19 = 213,178.70/x
  3. Step 3: Cross multiply
    462,496.70x = 693,735.19 × 213,178.70
  4. Step 4: Simplify right side
    462,496.70x = 147,889,565,948.45
  5. Step 5: Solve for x
    x = 147,889,565,948.45/462,496.70
  6. Step 6: Final answer
    x = 319,763.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.