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Finding the Fourth Proportional to 502,174.54, 693,009.98 and 272,731.78

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Solution

The fourth proportional to 502,174.54, 693,009.98 and 272,731.78 is: 376,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,174.54 : 693,009.98 = 272,731.78 : x
  2. Step 2: Convert to fraction form
    502,174.54/693,009.98 = 272,731.78/x
  3. Step 3: Cross multiply
    502,174.54x = 693,009.98 × 272,731.78
  4. Step 4: Simplify right side
    502,174.54x = 189,005,845,403.16
  5. Step 5: Solve for x
    x = 189,005,845,403.16/502,174.54
  6. Step 6: Final answer
    x = 376,374.81

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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.