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Finding the Fourth Proportional to 362,563.41, 500,350.57 and 209,649.58

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Solution

The fourth proportional to 362,563.41, 500,350.57 and 209,649.58 is: 289,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,563.41 : 500,350.57 = 209,649.58 : x
  2. Step 2: Convert to fraction form
    362,563.41/500,350.57 = 209,649.58/x
  3. Step 3: Cross multiply
    362,563.41x = 500,350.57 × 209,649.58
  4. Step 4: Simplify right side
    362,563.41x = 104,898,286,853.26
  5. Step 5: Solve for x
    x = 104,898,286,853.26/362,563.41
  6. Step 6: Final answer
    x = 289,323.98

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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.