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Finding the Fourth Proportional to 502,924.82, 694,015.11 and 285,148.14

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Solution

The fourth proportional to 502,924.82, 694,015.11 and 285,148.14 is: 393,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,924.82 : 694,015.11 = 285,148.14 : x
  2. Step 2: Convert to fraction form
    502,924.82/694,015.11 = 285,148.14/x
  3. Step 3: Cross multiply
    502,924.82x = 694,015.11 × 285,148.14
  4. Step 4: Simplify right side
    502,924.82x = 197,897,115,145.84
  5. Step 5: Solve for x
    x = 197,897,115,145.84/502,924.82
  6. Step 6: Final answer
    x = 393,492.45

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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.