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Finding the Fourth Proportional to 733,638.33, 1,012,408.07 and 411,347.43

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Solution

The fourth proportional to 733,638.33, 1,012,408.07 and 411,347.43 is: 567,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,638.33 : 1,012,408.07 = 411,347.43 : x
  2. Step 2: Convert to fraction form
    733,638.33/1,012,408.07 = 411,347.43/x
  3. Step 3: Cross multiply
    733,638.33x = 1,012,408.07 × 411,347.43
  4. Step 4: Simplify right side
    733,638.33x = 416,451,455,649.02
  5. Step 5: Solve for x
    x = 416,451,455,649.02/733,638.33
  6. Step 6: Final answer
    x = 567,652.26

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Double scale
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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.