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Finding the Fourth Proportional to 435,457, 653,185.98 and 172,801

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Solution

The fourth proportional to 435,457, 653,185.98 and 172,801 is: 259,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,457 : 653,185.98 = 172,801 : x
  2. Step 2: Convert to fraction form
    435,457/653,185.98 = 172,801/x
  3. Step 3: Cross multiply
    435,457x = 653,185.98 × 172,801
  4. Step 4: Simplify right side
    435,457x = 112,871,190,529.98
  5. Step 5: Solve for x
    x = 112,871,190,529.98/435,457
  6. Step 6: Final answer
    x = 259,201.69

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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.