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Finding the Fourth Proportional to 509,661.94, 703,341.48 and 280,229.18

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Solution

The fourth proportional to 509,661.94, 703,341.48 and 280,229.18 is: 386,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,661.94 : 703,341.48 = 280,229.18 : x
  2. Step 2: Convert to fraction form
    509,661.94/703,341.48 = 280,229.18/x
  3. Step 3: Cross multiply
    509,661.94x = 703,341.48 × 280,229.18
  4. Step 4: Simplify right side
    509,661.94x = 197,096,806,200.39
  5. Step 5: Solve for x
    x = 197,096,806,200.39/509,661.94
  6. Step 6: Final answer
    x = 386,720.67

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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.