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Finding the Fourth Proportional to 413,569.46, 620,351.91 and 161,025.63

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Solution

The fourth proportional to 413,569.46, 620,351.91 and 161,025.63 is: 241,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,569.46 : 620,351.91 = 161,025.63 : x
  2. Step 2: Convert to fraction form
    413,569.46/620,351.91 = 161,025.63/x
  3. Step 3: Cross multiply
    413,569.46x = 620,351.91 × 161,025.63
  4. Step 4: Simplify right side
    413,569.46x = 99,892,557,129.45
  5. Step 5: Solve for x
    x = 99,892,557,129.45/413,569.46
  6. Step 6: Final answer
    x = 241,537.56

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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.