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Finding the Fourth Proportional to 331,429.72, 497,074.74 and 106,810.24

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Solution

The fourth proportional to 331,429.72, 497,074.74 and 106,810.24 is: 160,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,429.72 : 497,074.74 = 106,810.24 : x
  2. Step 2: Convert to fraction form
    331,429.72/497,074.74 = 106,810.24/x
  3. Step 3: Cross multiply
    331,429.72x = 497,074.74 × 106,810.24
  4. Step 4: Simplify right side
    331,429.72x = 53,092,672,277.34
  5. Step 5: Solve for x
    x = 53,092,672,277.34/331,429.72
  6. Step 6: Final answer
    x = 160,192.85

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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.