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Finding the Fourth Proportional to 345,818.69, 477,233.43 and 194,915.69

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Solution

The fourth proportional to 345,818.69, 477,233.43 and 194,915.69 is: 268,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,818.69 : 477,233.43 = 194,915.69 : x
  2. Step 2: Convert to fraction form
    345,818.69/477,233.43 = 194,915.69/x
  3. Step 3: Cross multiply
    345,818.69x = 477,233.43 × 194,915.69
  4. Step 4: Simplify right side
    345,818.69x = 93,020,283,299.52
  5. Step 5: Solve for x
    x = 93,020,283,299.52/345,818.69
  6. Step 6: Final answer
    x = 268,985.70

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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.