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Finding the Fourth Proportional to 420,354.59, 580,168.44 and 263,263.30

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Solution

The fourth proportional to 420,354.59, 580,168.44 and 263,263.30 is: 363,352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,354.59 : 580,168.44 = 263,263.30 : x
  2. Step 2: Convert to fraction form
    420,354.59/580,168.44 = 263,263.30/x
  3. Step 3: Cross multiply
    420,354.59x = 580,168.44 × 263,263.30
  4. Step 4: Simplify right side
    420,354.59x = 152,737,055,702.65
  5. Step 5: Solve for x
    x = 152,737,055,702.65/420,354.59
  6. Step 6: Final answer
    x = 363,352.89

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