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Finding the Fourth Proportional to 865,200.84, 1,194,046.68 and 478,050

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Solution

The fourth proportional to 865,200.84, 1,194,046.68 and 478,050 is: 659,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,200.84 : 1,194,046.68 = 478,050 : x
  2. Step 2: Convert to fraction form
    865,200.84/1,194,046.68 = 478,050/x
  3. Step 3: Cross multiply
    865,200.84x = 1,194,046.68 × 478,050
  4. Step 4: Simplify right side
    865,200.84x = 570,814,015,374
  5. Step 5: Solve for x
    x = 570,814,015,374/865,200.84
  6. Step 6: Final answer
    x = 659,747.41

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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.