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Finding the Fourth Proportional to 413,076.27, 570,408.77 and 258,292.83

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Solution

The fourth proportional to 413,076.27, 570,408.77 and 258,292.83 is: 356,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,076.27 : 570,408.77 = 258,292.83 : x
  2. Step 2: Convert to fraction form
    413,076.27/570,408.77 = 258,292.83/x
  3. Step 3: Cross multiply
    413,076.27x = 570,408.77 × 258,292.83
  4. Step 4: Simplify right side
    413,076.27x = 147,332,494,168.66
  5. Step 5: Solve for x
    x = 147,332,494,168.66/413,076.27
  6. Step 6: Final answer
    x = 356,671.41

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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.