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Finding the Fourth Proportional to 277,528.86, 416,459.34 and 119,757.29

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Solution

The fourth proportional to 277,528.86, 416,459.34 and 119,757.29 is: 179,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,528.86 : 416,459.34 = 119,757.29 : x
  2. Step 2: Convert to fraction form
    277,528.86/416,459.34 = 119,757.29/x
  3. Step 3: Cross multiply
    277,528.86x = 416,459.34 × 119,757.29
  4. Step 4: Simplify right side
    277,528.86x = 49,874,039,871.29
  5. Step 5: Solve for x
    x = 49,874,039,871.29/277,528.86
  6. Step 6: Final answer
    x = 179,707.58

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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.