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Finding the Fourth Proportional to 298,336.98, 411,633.18 and 175,834.24

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Solution

The fourth proportional to 298,336.98, 411,633.18 and 175,834.24 is: 242,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,336.98 : 411,633.18 = 175,834.24 : x
  2. Step 2: Convert to fraction form
    298,336.98/411,633.18 = 175,834.24/x
  3. Step 3: Cross multiply
    298,336.98x = 411,633.18 × 175,834.24
  4. Step 4: Simplify right side
    298,336.98x = 72,379,207,364.08
  5. Step 5: Solve for x
    x = 72,379,207,364.08/298,336.98
  6. Step 6: Final answer
    x = 242,608.90

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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.