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Finding the Fourth Proportional to 502,076.86, 692,866.02 and 272,633.02

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Solution

The fourth proportional to 502,076.86, 692,866.02 and 272,633.02 is: 376,233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,076.86 : 692,866.02 = 272,633.02 : x
  2. Step 2: Convert to fraction form
    502,076.86/692,866.02 = 272,633.02/x
  3. Step 3: Cross multiply
    502,076.86x = 692,866.02 × 272,633.02
  4. Step 4: Simplify right side
    502,076.86x = 188,898,155,487.98
  5. Step 5: Solve for x
    x = 188,898,155,487.98/502,076.86
  6. Step 6: Final answer
    x = 376,233.54

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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.