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Finding the Fourth Proportional to 456,494.20, 683,429.10 and 279,347.20

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Solution

The fourth proportional to 456,494.20, 683,429.10 and 279,347.20 is: 418,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,494.20 : 683,429.10 = 279,347.20 : x
  2. Step 2: Convert to fraction form
    456,494.20/683,429.10 = 279,347.20/x
  3. Step 3: Cross multiply
    456,494.20x = 683,429.10 × 279,347.20
  4. Step 4: Simplify right side
    456,494.20x = 190,914,005,483.52
  5. Step 5: Solve for x
    x = 190,914,005,483.52/456,494.20
  6. Step 6: Final answer
    x = 418,217.81

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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.