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Finding the Fourth Proportional to 502,299, 693,172.89 and 275,959.08

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Solution

The fourth proportional to 502,299, 693,172.89 and 275,959.08 is: 380,823.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,299 : 693,172.89 = 275,959.08 : x
  2. Step 2: Convert to fraction form
    502,299/693,172.89 = 275,959.08/x
  3. Step 3: Cross multiply
    502,299x = 693,172.89 × 275,959.08
  4. Step 4: Simplify right side
    502,299x = 191,287,353,005.34
  5. Step 5: Solve for x
    x = 191,287,353,005.34/502,299
  6. Step 6: Final answer
    x = 380,823.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.