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Finding the Fourth Proportional to 286,004.94, 394,685.71 and 156,945.57

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Solution

The fourth proportional to 286,004.94, 394,685.71 and 156,945.57 is: 216,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,004.94 : 394,685.71 = 156,945.57 : x
  2. Step 2: Convert to fraction form
    286,004.94/394,685.71 = 156,945.57/x
  3. Step 3: Cross multiply
    286,004.94x = 394,685.71 × 156,945.57
  4. Step 4: Simplify right side
    286,004.94x = 61,944,173,726.80
  5. Step 5: Solve for x
    x = 61,944,173,726.80/286,004.94
  6. Step 6: Final answer
    x = 216,584.28

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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.