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Finding the Fourth Proportional to 462,071.70, 693,107.55 and 213,239.70

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Solution

The fourth proportional to 462,071.70, 693,107.55 and 213,239.70 is: 319,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,071.70 : 693,107.55 = 213,239.70 : x
  2. Step 2: Convert to fraction form
    462,071.70/693,107.55 = 213,239.70/x
  3. Step 3: Cross multiply
    462,071.70x = 693,107.55 × 213,239.70
  4. Step 4: Simplify right side
    462,071.70x = 147,798,046,029.74
  5. Step 5: Solve for x
    x = 147,798,046,029.74/462,071.70
  6. Step 6: Final answer
    x = 319,859.55

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