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Finding the Fourth Proportional to 262,562.70, 394,135.65 and 144,464.70

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Solution

The fourth proportional to 262,562.70, 394,135.65 and 144,464.70 is: 216,857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,562.70 : 394,135.65 = 144,464.70 : x
  2. Step 2: Convert to fraction form
    262,562.70/394,135.65 = 144,464.70/x
  3. Step 3: Cross multiply
    262,562.70x = 394,135.65 × 144,464.70
  4. Step 4: Simplify right side
    262,562.70x = 56,938,688,436.56
  5. Step 5: Solve for x
    x = 56,938,688,436.56/262,562.70
  6. Step 6: Final answer
    x = 216,857.49

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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.