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Finding the Fourth Proportional to 502,057.98, 692,819.28 and 272,606.28

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Solution

The fourth proportional to 502,057.98, 692,819.28 and 272,606.28 is: 376,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,057.98 : 692,819.28 = 272,606.28 : x
  2. Step 2: Convert to fraction form
    502,057.98/692,819.28 = 272,606.28/x
  3. Step 3: Cross multiply
    502,057.98x = 692,819.28 × 272,606.28
  4. Step 4: Simplify right side
    502,057.98x = 188,866,886,633.08
  5. Step 5: Solve for x
    x = 188,866,886,633.08/502,057.98
  6. Step 6: Final answer
    x = 376,185.41

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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.