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Finding the Fourth Proportional to 616,434.12, 850,676.31 and 344,501.82

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Solution

The fourth proportional to 616,434.12, 850,676.31 and 344,501.82 is: 475,410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,434.12 : 850,676.31 = 344,501.82 : x
  2. Step 2: Convert to fraction form
    616,434.12/850,676.31 = 344,501.82/x
  3. Step 3: Cross multiply
    616,434.12x = 850,676.31 × 344,501.82
  4. Step 4: Simplify right side
    616,434.12x = 293,059,537,025.88
  5. Step 5: Solve for x
    x = 293,059,537,025.88/616,434.12
  6. Step 6: Final answer
    x = 475,410.96

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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.