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Finding the Fourth Proportional to 865,397.69, 1,194,245.82 and 478,202.31

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Solution

The fourth proportional to 865,397.69, 1,194,245.82 and 478,202.31 is: 659,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,397.69 : 1,194,245.82 = 478,202.31 : x
  2. Step 2: Convert to fraction form
    865,397.69/1,194,245.82 = 478,202.31/x
  3. Step 3: Cross multiply
    865,397.69x = 1,194,245.82 × 478,202.31
  4. Step 4: Simplify right side
    865,397.69x = 571,091,109,831.84
  5. Step 5: Solve for x
    x = 571,091,109,831.84/865,397.69
  6. Step 6: Final answer
    x = 659,917.54

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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.