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Finding the Fourth Proportional to 650,536.80, 975,805.20 and 229,855.20

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Solution

The fourth proportional to 650,536.80, 975,805.20 and 229,855.20 is: 344,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,536.80 : 975,805.20 = 229,855.20 : x
  2. Step 2: Convert to fraction form
    650,536.80/975,805.20 = 229,855.20/x
  3. Step 3: Cross multiply
    650,536.80x = 975,805.20 × 229,855.20
  4. Step 4: Simplify right side
    650,536.80x = 224,293,899,407.04
  5. Step 5: Solve for x
    x = 224,293,899,407.04/650,536.80
  6. Step 6: Final answer
    x = 344,782.80

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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.