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Finding the Fourth Proportional to 362,226.80, 542,821.80 and 266,711.60

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Solution

The fourth proportional to 362,226.80, 542,821.80 and 266,711.60 is: 399,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,226.80 : 542,821.80 = 266,711.60 : x
  2. Step 2: Convert to fraction form
    362,226.80/542,821.80 = 266,711.60/x
  3. Step 3: Cross multiply
    362,226.80x = 542,821.80 × 266,711.60
  4. Step 4: Simplify right side
    362,226.80x = 144,776,870,792.88
  5. Step 5: Solve for x
    x = 144,776,870,792.88/362,226.80
  6. Step 6: Final answer
    x = 399,685.70

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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.