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Finding the Fourth Proportional to 410,685.44, 614,529.45 and 242,286.44

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Solution

The fourth proportional to 410,685.44, 614,529.45 and 242,286.44 is: 362,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,685.44 : 614,529.45 = 242,286.44 : x
  2. Step 2: Convert to fraction form
    410,685.44/614,529.45 = 242,286.44/x
  3. Step 3: Cross multiply
    410,685.44x = 614,529.45 × 242,286.44
  4. Step 4: Simplify right side
    410,685.44x = 148,892,154,251.98
  5. Step 5: Solve for x
    x = 148,892,154,251.98/410,685.44
  6. Step 6: Final answer
    x = 362,545.49

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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.