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Finding the Fourth Proportional to 502,072.44, 692,864.46 and 275,719.56

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Solution

The fourth proportional to 502,072.44, 692,864.46 and 275,719.56 is: 380,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,072.44 : 692,864.46 = 275,719.56 : x
  2. Step 2: Convert to fraction form
    502,072.44/692,864.46 = 275,719.56/x
  3. Step 3: Cross multiply
    502,072.44x = 692,864.46 × 275,719.56
  4. Step 4: Simplify right side
    502,072.44x = 191,036,284,050.84
  5. Step 5: Solve for x
    x = 191,036,284,050.84/502,072.44
  6. Step 6: Final answer
    x = 380,495.46

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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.