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Finding the Fourth Proportional to 509,870.70, 764,806.05 and 273,674.70

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Solution

The fourth proportional to 509,870.70, 764,806.05 and 273,674.70 is: 410,512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,870.70 : 764,806.05 = 273,674.70 : x
  2. Step 2: Convert to fraction form
    509,870.70/764,806.05 = 273,674.70/x
  3. Step 3: Cross multiply
    509,870.70x = 764,806.05 × 273,674.70
  4. Step 4: Simplify right side
    509,870.70x = 209,308,066,291.94
  5. Step 5: Solve for x
    x = 209,308,066,291.94/509,870.70
  6. Step 6: Final answer
    x = 410,512.05

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Similar ratio
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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.