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Finding the Fourth Proportional to 616,346.34, 850,541.66 and 344,416.47

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Solution

The fourth proportional to 616,346.34, 850,541.66 and 344,416.47 is: 475,285.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,346.34 : 850,541.66 = 344,416.47 : x
  2. Step 2: Convert to fraction form
    616,346.34/850,541.66 = 344,416.47/x
  3. Step 3: Cross multiply
    616,346.34x = 850,541.66 × 344,416.47
  4. Step 4: Simplify right side
    616,346.34x = 292,940,552,505.09
  5. Step 5: Solve for x
    x = 292,940,552,505.09/616,346.34
  6. Step 6: Final answer
    x = 475,285.62

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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.