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Finding the Fourth Proportional to 616,043.94, 850,143.59 and 344,123.29

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Solution

The fourth proportional to 616,043.94, 850,143.59 and 344,123.29 is: 474,891.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,043.94 : 850,143.59 = 344,123.29 : x
  2. Step 2: Convert to fraction form
    616,043.94/850,143.59 = 344,123.29/x
  3. Step 3: Cross multiply
    616,043.94x = 850,143.59 × 344,123.29
  4. Step 4: Simplify right side
    616,043.94x = 292,554,209,163.21
  5. Step 5: Solve for x
    x = 292,554,209,163.21/616,043.94
  6. Step 6: Final answer
    x = 474,891.79

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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.