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Finding the Fourth Proportional to 316,711.44, 436,940.19 and 180,752.94

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Solution

The fourth proportional to 316,711.44, 436,940.19 and 180,752.94 is: 249,369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,711.44 : 436,940.19 = 180,752.94 : x
  2. Step 2: Convert to fraction form
    316,711.44/436,940.19 = 180,752.94/x
  3. Step 3: Cross multiply
    316,711.44x = 436,940.19 × 180,752.94
  4. Step 4: Simplify right side
    316,711.44x = 78,978,223,946.66
  5. Step 5: Solve for x
    x = 78,978,223,946.66/316,711.44
  6. Step 6: Final answer
    x = 249,369.66

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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.