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Finding the Fourth Proportional to 275,441.84, 413,026.32 and 97,922.24

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Solution

The fourth proportional to 275,441.84, 413,026.32 and 97,922.24 is: 146,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,441.84 : 413,026.32 = 97,922.24 : x
  2. Step 2: Convert to fraction form
    275,441.84/413,026.32 = 97,922.24/x
  3. Step 3: Cross multiply
    275,441.84x = 413,026.32 × 97,922.24
  4. Step 4: Simplify right side
    275,441.84x = 40,444,462,433.36
  5. Step 5: Solve for x
    x = 40,444,462,433.36/275,441.84
  6. Step 6: Final answer
    x = 146,834.85

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1.5x scale

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.