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Finding the Fourth Proportional to 583,638, 875,457 and 140,406

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Solution

The fourth proportional to 583,638, 875,457 and 140,406 is: 210,609

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,638 : 875,457 = 140,406 : x
  2. Step 2: Convert to fraction form
    583,638/875,457 = 140,406/x
  3. Step 3: Cross multiply
    583,638x = 875,457 × 140,406
  4. Step 4: Simplify right side
    583,638x = 122,919,415,542
  5. Step 5: Solve for x
    x = 122,919,415,542/583,638
  6. Step 6: Final answer
    x = 210,609

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.