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Finding the Fourth Proportional to 462,490.42, 693,725.91 and 213,172.42

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Solution

The fourth proportional to 462,490.42, 693,725.91 and 213,172.42 is: 319,754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,490.42 : 693,725.91 = 213,172.42 : x
  2. Step 2: Convert to fraction form
    462,490.42/693,725.91 = 213,172.42/x
  3. Step 3: Cross multiply
    462,490.42x = 693,725.91 × 213,172.42
  4. Step 4: Simplify right side
    462,490.42x = 147,883,231,051.40
  5. Step 5: Solve for x
    x = 147,883,231,051.40/462,490.42
  6. Step 6: Final answer
    x = 319,754.15

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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.