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Finding the Fourth Proportional to 447,693.96, 671,567.14 and 127,821.20

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Solution

The fourth proportional to 447,693.96, 671,567.14 and 127,821.20 is: 191,739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,693.96 : 671,567.14 = 127,821.20 : x
  2. Step 2: Convert to fraction form
    447,693.96/671,567.14 = 127,821.20/x
  3. Step 3: Cross multiply
    447,693.96x = 671,567.14 × 127,821.20
  4. Step 4: Simplify right side
    447,693.96x = 85,840,517,715.37
  5. Step 5: Solve for x
    x = 85,840,517,715.37/447,693.96
  6. Step 6: Final answer
    x = 191,739.28

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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.