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Finding the Fourth Proportional to 628,640, 943,133.12 and 185,408

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Solution

The fourth proportional to 628,640, 943,133.12 and 185,408 is: 278,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,640 : 943,133.12 = 185,408 : x
  2. Step 2: Convert to fraction form
    628,640/943,133.12 = 185,408/x
  3. Step 3: Cross multiply
    628,640x = 943,133.12 × 185,408
  4. Step 4: Simplify right side
    628,640x = 174,864,425,512.96
  5. Step 5: Solve for x
    x = 174,864,425,512.96/628,640
  6. Step 6: Final answer
    x = 278,163.06

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Why These Related Problems?

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