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Finding the Fourth Proportional to 472,072.84, 651,463.38 and 281,094.28

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Solution

The fourth proportional to 472,072.84, 651,463.38 and 281,094.28 is: 387,911.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,072.84 : 651,463.38 = 281,094.28 : x
  2. Step 2: Convert to fraction form
    472,072.84/651,463.38 = 281,094.28/x
  3. Step 3: Cross multiply
    472,072.84x = 651,463.38 × 281,094.28
  4. Step 4: Simplify right side
    472,072.84x = 183,122,629,747.47
  5. Step 5: Solve for x
    x = 183,122,629,747.47/472,072.84
  6. Step 6: Final answer
    x = 387,911.81

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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.