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Finding the Fourth Proportional to 305,079.45, 457,567.14 and 80,442.08

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Solution

The fourth proportional to 305,079.45, 457,567.14 and 80,442.08 is: 120,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,079.45 : 457,567.14 = 80,442.08 : x
  2. Step 2: Convert to fraction form
    305,079.45/457,567.14 = 80,442.08/x
  3. Step 3: Cross multiply
    305,079.45x = 457,567.14 × 80,442.08
  4. Step 4: Simplify right side
    305,079.45x = 36,807,652,481.25
  5. Step 5: Solve for x
    x = 36,807,652,481.25/305,079.45
  6. Step 6: Final answer
    x = 120,649.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.