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Finding the Fourth Proportional to 597,611.62, 824,672.23 and 342,946

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Solution

The fourth proportional to 597,611.62, 824,672.23 and 342,946 is: 473,247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,611.62 : 824,672.23 = 342,946 : x
  2. Step 2: Convert to fraction form
    597,611.62/824,672.23 = 342,946/x
  3. Step 3: Cross multiply
    597,611.62x = 824,672.23 × 342,946
  4. Step 4: Simplify right side
    597,611.62x = 282,818,042,589.58
  5. Step 5: Solve for x
    x = 282,818,042,589.58/597,611.62
  6. Step 6: Final answer
    x = 473,247.23

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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.