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Finding the Fourth Proportional to 397,780.40, 596,667.40 and 263,445.75

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Solution

The fourth proportional to 397,780.40, 596,667.40 and 263,445.75 is: 395,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,780.40 : 596,667.40 = 263,445.75 : x
  2. Step 2: Convert to fraction form
    397,780.40/596,667.40 = 263,445.75/x
  3. Step 3: Cross multiply
    397,780.40x = 596,667.40 × 263,445.75
  4. Step 4: Simplify right side
    397,780.40x = 157,189,490,034.94
  5. Step 5: Solve for x
    x = 157,189,490,034.94/397,780.40
  6. Step 6: Final answer
    x = 395,166.50

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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.