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Finding the Fourth Proportional to 349,513.26, 482,322.51 and 194,458.56

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Solution

The fourth proportional to 349,513.26, 482,322.51 and 194,458.56 is: 268,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,513.26 : 482,322.51 = 194,458.56 : x
  2. Step 2: Convert to fraction form
    349,513.26/482,322.51 = 194,458.56/x
  3. Step 3: Cross multiply
    349,513.26x = 482,322.51 × 194,458.56
  4. Step 4: Simplify right side
    349,513.26x = 93,791,740,750.19
  5. Step 5: Solve for x
    x = 93,791,740,750.19/349,513.26
  6. Step 6: Final answer
    x = 268,349.59

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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.