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Finding the Fourth Proportional to 496,230.40, 744,564.30 and 229,853.80

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Solution

The fourth proportional to 496,230.40, 744,564.30 and 229,853.80 is: 344,882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,230.40 : 744,564.30 = 229,853.80 : x
  2. Step 2: Convert to fraction form
    496,230.40/744,564.30 = 229,853.80/x
  3. Step 3: Cross multiply
    496,230.40x = 744,564.30 × 229,853.80
  4. Step 4: Simplify right side
    496,230.40x = 171,140,933,699.34
  5. Step 5: Solve for x
    x = 171,140,933,699.34/496,230.40
  6. Step 6: Final answer
    x = 344,882.00

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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.