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Finding the Fourth Proportional to 512,538.03, 707,302.53 and 286,183.53

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Solution

The fourth proportional to 512,538.03, 707,302.53 and 286,183.53 is: 394,933.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,538.03 : 707,302.53 = 286,183.53 : x
  2. Step 2: Convert to fraction form
    512,538.03/707,302.53 = 286,183.53/x
  3. Step 3: Cross multiply
    512,538.03x = 707,302.53 × 286,183.53
  4. Step 4: Simplify right side
    512,538.03x = 202,418,334,813.33
  5. Step 5: Solve for x
    x = 202,418,334,813.33/512,538.03
  6. Step 6: Final answer
    x = 394,933.30

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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.