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Finding the Fourth Proportional to 507,226.32, 699,971.22 and 292,364.91

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Solution

The fourth proportional to 507,226.32, 699,971.22 and 292,364.91 is: 403,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,226.32 : 699,971.22 = 292,364.91 : x
  2. Step 2: Convert to fraction form
    507,226.32/699,971.22 = 292,364.91/x
  3. Step 3: Cross multiply
    507,226.32x = 699,971.22 × 292,364.91
  4. Step 4: Simplify right side
    507,226.32x = 204,647,022,737.89
  5. Step 5: Solve for x
    x = 204,647,022,737.89/507,226.32
  6. Step 6: Final answer
    x = 403,462.94

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1.5x scale

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.