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Finding the Fourth Proportional to 402,483.10, 603,745.33 and 102,966.28

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Solution

The fourth proportional to 402,483.10, 603,745.33 and 102,966.28 is: 154,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,483.10 : 603,745.33 = 102,966.28 : x
  2. Step 2: Convert to fraction form
    402,483.10/603,745.33 = 102,966.28/x
  3. Step 3: Cross multiply
    402,483.10x = 603,745.33 × 102,966.28
  4. Step 4: Simplify right side
    402,483.10x = 62,165,407,163.91
  5. Step 5: Solve for x
    x = 62,165,407,163.91/402,483.10
  6. Step 6: Final answer
    x = 154,454.70

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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.