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Finding the Fourth Proportional to 650,539.80, 975,809.70 and 229,858.20

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Solution

The fourth proportional to 650,539.80, 975,809.70 and 229,858.20 is: 344,787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,539.80 : 975,809.70 = 229,858.20 : x
  2. Step 2: Convert to fraction form
    650,539.80/975,809.70 = 229,858.20/x
  3. Step 3: Cross multiply
    650,539.80x = 975,809.70 × 229,858.20
  4. Step 4: Simplify right side
    650,539.80x = 224,297,861,184.54
  5. Step 5: Solve for x
    x = 224,297,861,184.54/650,539.80
  6. Step 6: Final answer
    x = 344,787.30

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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.