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Finding the Fourth Proportional to 478,008, 659,694.96 and 263,191.68

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Solution

The fourth proportional to 478,008, 659,694.96 and 263,191.68 is: 363,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,008 : 659,694.96 = 263,191.68 : x
  2. Step 2: Convert to fraction form
    478,008/659,694.96 = 263,191.68/x
  3. Step 3: Cross multiply
    478,008x = 659,694.96 × 263,191.68
  4. Step 4: Simplify right side
    478,008x = 173,626,224,809.93
  5. Step 5: Solve for x
    x = 173,626,224,809.93/478,008
  6. Step 6: Final answer
    x = 363,228.70

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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.