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Finding the Fourth Proportional to 413,021.92, 570,170.52 and 277,006.24

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Solution

The fourth proportional to 413,021.92, 570,170.52 and 277,006.24 is: 382,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,021.92 : 570,170.52 = 277,006.24 : x
  2. Step 2: Convert to fraction form
    413,021.92/570,170.52 = 277,006.24/x
  3. Step 3: Cross multiply
    413,021.92x = 570,170.52 × 277,006.24
  4. Step 4: Simplify right side
    413,021.92x = 157,940,791,904.05
  5. Step 5: Solve for x
    x = 157,940,791,904.05/413,021.92
  6. Step 6: Final answer
    x = 382,402.93

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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.