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Finding the Fourth Proportional to 616,133.26, 924,304.97 and 274,700.57

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Solution

The fourth proportional to 616,133.26, 924,304.97 and 274,700.57 is: 412,097.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,133.26 : 924,304.97 = 274,700.57 : x
  2. Step 2: Convert to fraction form
    616,133.26/924,304.97 = 274,700.57/x
  3. Step 3: Cross multiply
    616,133.26x = 924,304.97 × 274,700.57
  4. Step 4: Simplify right side
    616,133.26x = 253,907,105,110.35
  5. Step 5: Solve for x
    x = 253,907,105,110.35/616,133.26
  6. Step 6: Final answer
    x = 412,097.71

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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.