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Finding the Fourth Proportional to 865,202.84, 1,194,049.44 and 478,052

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Solution

The fourth proportional to 865,202.84, 1,194,049.44 and 478,052 is: 659,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,202.84 : 1,194,049.44 = 478,052 : x
  2. Step 2: Convert to fraction form
    865,202.84/1,194,049.44 = 478,052/x
  3. Step 3: Cross multiply
    865,202.84x = 1,194,049.44 × 478,052
  4. Step 4: Simplify right side
    865,202.84x = 570,817,722,890.88
  5. Step 5: Solve for x
    x = 570,817,722,890.88/865,202.84
  6. Step 6: Final answer
    x = 659,750.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.