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Finding the Fourth Proportional to 507,297.83, 699,734.16 and 326,238.84

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Solution

The fourth proportional to 507,297.83, 699,734.16 and 326,238.84 is: 449,992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,297.83 : 699,734.16 = 326,238.84 : x
  2. Step 2: Convert to fraction form
    507,297.83/699,734.16 = 326,238.84/x
  3. Step 3: Cross multiply
    507,297.83x = 699,734.16 × 326,238.84
  4. Step 4: Simplify right side
    507,297.83x = 228,280,460,666.77
  5. Step 5: Solve for x
    x = 228,280,460,666.77/507,297.83
  6. Step 6: Final answer
    x = 449,992.98

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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.