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Finding the Fourth Proportional to 424,742.90, 637,409.48 and 274,610.84

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Solution

The fourth proportional to 424,742.90, 637,409.48 and 274,610.84 is: 412,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,742.90 : 637,409.48 = 274,610.84 : x
  2. Step 2: Convert to fraction form
    424,742.90/637,409.48 = 274,610.84/x
  3. Step 3: Cross multiply
    424,742.90x = 637,409.48 × 274,610.84
  4. Step 4: Simplify right side
    424,742.90x = 175,039,548,166.66
  5. Step 5: Solve for x
    x = 175,039,548,166.66/424,742.90
  6. Step 6: Final answer
    x = 412,107.07

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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.