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Finding the Fourth Proportional to 436,189, 654,283.52 and 116,341.88

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Solution

The fourth proportional to 436,189, 654,283.52 and 116,341.88 is: 174,512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,189 : 654,283.52 = 116,341.88 : x
  2. Step 2: Convert to fraction form
    436,189/654,283.52 = 116,341.88/x
  3. Step 3: Cross multiply
    436,189x = 654,283.52 × 116,341.88
  4. Step 4: Simplify right side
    436,189x = 76,120,574,769.82
  5. Step 5: Solve for x
    x = 76,120,574,769.82/436,189
  6. Step 6: Final answer
    x = 174,512.83

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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.