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Finding the Fourth Proportional to 616,341.29, 850,546.82 and 344,409.86

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Solution

The fourth proportional to 616,341.29, 850,546.82 and 344,409.86 is: 475,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,341.29 : 850,546.82 = 344,409.86 : x
  2. Step 2: Convert to fraction form
    616,341.29/850,546.82 = 344,409.86/x
  3. Step 3: Cross multiply
    616,341.29x = 850,546.82 × 344,409.86
  4. Step 4: Simplify right side
    616,341.29x = 292,936,705,224.86
  5. Step 5: Solve for x
    x = 292,936,705,224.86/616,341.29
  6. Step 6: Final answer
    x = 475,283.28

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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.