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Finding the Fourth Proportional to 320,250.10, 441,946.90 and 175,056.10

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Solution

The fourth proportional to 320,250.10, 441,946.90 and 175,056.10 is: 241,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,250.10 : 441,946.90 = 175,056.10 : x
  2. Step 2: Convert to fraction form
    320,250.10/441,946.90 = 175,056.10/x
  3. Step 3: Cross multiply
    320,250.10x = 441,946.90 × 175,056.10
  4. Step 4: Simplify right side
    320,250.10x = 77,365,500,721.09
  5. Step 5: Solve for x
    x = 77,365,500,721.09/320,250.10
  6. Step 6: Final answer
    x = 241,578.38

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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.