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Finding the Fourth Proportional to 616,178.34, 850,242.42 and 344,212.74

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Solution

The fourth proportional to 616,178.34, 850,242.42 and 344,212.74 is: 474,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,178.34 : 850,242.42 = 344,212.74 : x
  2. Step 2: Convert to fraction form
    616,178.34/850,242.42 = 344,212.74/x
  3. Step 3: Cross multiply
    616,178.34x = 850,242.42 × 344,212.74
  4. Step 4: Simplify right side
    616,178.34x = 292,664,273,052.43
  5. Step 5: Solve for x
    x = 292,664,273,052.43/616,178.34
  6. Step 6: Final answer
    x = 474,966.83

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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.