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Finding the Fourth Proportional to 277,415.92, 382,833.84 and 156,582.56

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Solution

The fourth proportional to 277,415.92, 382,833.84 and 156,582.56 is: 216,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,415.92 : 382,833.84 = 156,582.56 : x
  2. Step 2: Convert to fraction form
    277,415.92/382,833.84 = 156,582.56/x
  3. Step 3: Cross multiply
    277,415.92x = 382,833.84 × 156,582.56
  4. Step 4: Simplify right side
    277,415.92x = 59,945,102,721.83
  5. Step 5: Solve for x
    x = 59,945,102,721.83/277,415.92
  6. Step 6: Final answer
    x = 216,083.86

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1.5x scale

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.