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Finding the Fourth Proportional to 502,016, 692,786.94 and 275,666.36

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Solution

The fourth proportional to 502,016, 692,786.94 and 275,666.36 is: 380,422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,016 : 692,786.94 = 275,666.36 : x
  2. Step 2: Convert to fraction form
    502,016/692,786.94 = 275,666.36/x
  3. Step 3: Cross multiply
    502,016x = 692,786.94 × 275,666.36
  4. Step 4: Simplify right side
    502,016x = 190,978,054,005.34
  5. Step 5: Solve for x
    x = 190,978,054,005.34/502,016
  6. Step 6: Final answer
    x = 380,422.25

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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.