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Finding the Fourth Proportional to 471,152.33, 650,232.39 and 277,561.82

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Solution

The fourth proportional to 471,152.33, 650,232.39 and 277,561.82 is: 383,060.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,152.33 : 650,232.39 = 277,561.82 : x
  2. Step 2: Convert to fraction form
    471,152.33/650,232.39 = 277,561.82/x
  3. Step 3: Cross multiply
    471,152.33x = 650,232.39 × 277,561.82
  4. Step 4: Simplify right side
    471,152.33x = 180,479,685,591.35
  5. Step 5: Solve for x
    x = 180,479,685,591.35/471,152.33
  6. Step 6: Final answer
    x = 383,060.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.