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Finding the Fourth Proportional to 272,804.40, 410,081.40 and 194,461.20

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Solution

The fourth proportional to 272,804.40, 410,081.40 and 194,461.20 is: 292,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,804.40 : 410,081.40 = 194,461.20 : x
  2. Step 2: Convert to fraction form
    272,804.40/410,081.40 = 194,461.20/x
  3. Step 3: Cross multiply
    272,804.40x = 410,081.40 × 194,461.20
  4. Step 4: Simplify right side
    272,804.40x = 79,744,921,141.68
  5. Step 5: Solve for x
    x = 79,744,921,141.68/272,804.40
  6. Step 6: Final answer
    x = 292,315.38

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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.