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Finding the Fourth Proportional to 298,334.97, 411,630.41 and 175,832.24

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Solution

The fourth proportional to 298,334.97, 411,630.41 and 175,832.24 is: 242,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,334.97 : 411,630.41 = 175,832.24 : x
  2. Step 2: Convert to fraction form
    298,334.97/411,630.41 = 175,832.24/x
  3. Step 3: Cross multiply
    298,334.97x = 411,630.41 × 175,832.24
  4. Step 4: Simplify right side
    298,334.97x = 72,377,895,423.85
  5. Step 5: Solve for x
    x = 72,377,895,423.85/298,334.97
  6. Step 6: Final answer
    x = 242,606.14

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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.