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Finding the Fourth Proportional to 509,347.20, 763,826.40 and 154,243.20

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Solution

The fourth proportional to 509,347.20, 763,826.40 and 154,243.20 is: 231,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,347.20 : 763,826.40 = 154,243.20 : x
  2. Step 2: Convert to fraction form
    509,347.20/763,826.40 = 154,243.20/x
  3. Step 3: Cross multiply
    509,347.20x = 763,826.40 × 154,243.20
  4. Step 4: Simplify right side
    509,347.20x = 117,815,028,180.48
  5. Step 5: Solve for x
    x = 117,815,028,180.48/509,347.20
  6. Step 6: Final answer
    x = 231,305.93

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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.