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Finding the Fourth Proportional to 419,298.48, 629,046.06 and 119,783.32

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Solution

The fourth proportional to 419,298.48, 629,046.06 and 119,783.32 is: 179,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,298.48 : 629,046.06 = 119,783.32 : x
  2. Step 2: Convert to fraction form
    419,298.48/629,046.06 = 119,783.32/x
  3. Step 3: Cross multiply
    419,298.48x = 629,046.06 × 119,783.32
  4. Step 4: Simplify right side
    419,298.48x = 75,349,225,499.72
  5. Step 5: Solve for x
    x = 75,349,225,499.72/419,298.48
  6. Step 6: Final answer
    x = 179,703.07

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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.