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Finding the Fourth Proportional to 507,898.84, 700,906.62 and 293,083.60

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Solution

The fourth proportional to 507,898.84, 700,906.62 and 293,083.60 is: 404,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,898.84 : 700,906.62 = 293,083.60 : x
  2. Step 2: Convert to fraction form
    507,898.84/700,906.62 = 293,083.60/x
  3. Step 3: Cross multiply
    507,898.84x = 700,906.62 × 293,083.60
  4. Step 4: Simplify right side
    507,898.84x = 205,424,235,453.43
  5. Step 5: Solve for x
    x = 205,424,235,453.43/507,898.84
  6. Step 6: Final answer
    x = 404,458.96

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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.