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Finding the Fourth Proportional to 509,005.88, 763,247.19 and 269,248.71

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Solution

The fourth proportional to 509,005.88, 763,247.19 and 269,248.71 is: 403,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,005.88 : 763,247.19 = 269,248.71 : x
  2. Step 2: Convert to fraction form
    509,005.88/763,247.19 = 269,248.71/x
  3. Step 3: Cross multiply
    509,005.88x = 763,247.19 × 269,248.71
  4. Step 4: Simplify right side
    509,005.88x = 205,503,321,880.50
  5. Step 5: Solve for x
    x = 205,503,321,880.50/509,005.88
  6. Step 6: Final answer
    x = 403,734.67

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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.