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Finding the Fourth Proportional to 422,591.83, 583,950.06 and 307,671.01

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Solution

The fourth proportional to 422,591.83, 583,950.06 and 307,671.01 is: 425,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,591.83 : 583,950.06 = 307,671.01 : x
  2. Step 2: Convert to fraction form
    422,591.83/583,950.06 = 307,671.01/x
  3. Step 3: Cross multiply
    422,591.83x = 583,950.06 × 307,671.01
  4. Step 4: Simplify right side
    422,591.83x = 179,664,503,289.89
  5. Step 5: Solve for x
    x = 179,664,503,289.89/422,591.83
  6. Step 6: Final answer
    x = 425,149.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.