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Finding the Fourth Proportional to 478,046.14, 659,678.63 and 263,144.23

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Solution

The fourth proportional to 478,046.14, 659,678.63 and 263,144.23 is: 363,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,046.14 : 659,678.63 = 263,144.23 : x
  2. Step 2: Convert to fraction form
    478,046.14/659,678.63 = 263,144.23/x
  3. Step 3: Cross multiply
    478,046.14x = 659,678.63 × 263,144.23
  4. Step 4: Simplify right side
    478,046.14x = 173,590,625,138.81
  5. Step 5: Solve for x
    x = 173,590,625,138.81/478,046.14
  6. Step 6: Final answer
    x = 363,125.25

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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.