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Finding the Fourth Proportional to 428,983.80, 643,281.30 and 162,655.80

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Solution

The fourth proportional to 428,983.80, 643,281.30 and 162,655.80 is: 243,909.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,983.80 : 643,281.30 = 162,655.80 : x
  2. Step 2: Convert to fraction form
    428,983.80/643,281.30 = 162,655.80/x
  3. Step 3: Cross multiply
    428,983.80x = 643,281.30 × 162,655.80
  4. Step 4: Simplify right side
    428,983.80x = 104,633,434,476.54
  5. Step 5: Solve for x
    x = 104,633,434,476.54/428,983.80
  6. Step 6: Final answer
    x = 243,909.99

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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.