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Finding the Fourth Proportional to 316,542.81, 436,827.90 and 180,576.51

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Solution

The fourth proportional to 316,542.81, 436,827.90 and 180,576.51 is: 249,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,542.81 : 436,827.90 = 180,576.51 : x
  2. Step 2: Convert to fraction form
    316,542.81/436,827.90 = 180,576.51/x
  3. Step 3: Cross multiply
    316,542.81x = 436,827.90 × 180,576.51
  4. Step 4: Simplify right side
    316,542.81x = 78,880,857,652.63
  5. Step 5: Solve for x
    x = 78,880,857,652.63/316,542.81
  6. Step 6: Final answer
    x = 249,194.91

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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.