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Finding the Fourth Proportional to 273,415.80, 410,123.70 and 162,823.80

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Solution

The fourth proportional to 273,415.80, 410,123.70 and 162,823.80 is: 244,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,415.80 : 410,123.70 = 162,823.80 : x
  2. Step 2: Convert to fraction form
    273,415.80/410,123.70 = 162,823.80/x
  3. Step 3: Cross multiply
    273,415.80x = 410,123.70 × 162,823.80
  4. Step 4: Simplify right side
    273,415.80x = 66,777,899,304.06
  5. Step 5: Solve for x
    x = 66,777,899,304.06/273,415.80
  6. Step 6: Final answer
    x = 244,235.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.