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Finding the Fourth Proportional to 331,490.81, 497,248.54 and 106,854.49

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Solution

The fourth proportional to 331,490.81, 497,248.54 and 106,854.49 is: 160,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,490.81 : 497,248.54 = 106,854.49 : x
  2. Step 2: Convert to fraction form
    331,490.81/497,248.54 = 106,854.49/x
  3. Step 3: Cross multiply
    331,490.81x = 497,248.54 × 106,854.49
  4. Step 4: Simplify right side
    331,490.81x = 53,133,239,499.37
  5. Step 5: Solve for x
    x = 53,133,239,499.37/331,490.81
  6. Step 6: Final answer
    x = 160,285.71

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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.