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Finding the Fourth Proportional to 512,934.62, 707,937.67 and 298,199.24

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Solution

The fourth proportional to 512,934.62, 707,937.67 and 298,199.24 is: 411,566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,934.62 : 707,937.67 = 298,199.24 : x
  2. Step 2: Convert to fraction form
    512,934.62/707,937.67 = 298,199.24/x
  3. Step 3: Cross multiply
    512,934.62x = 707,937.67 × 298,199.24
  4. Step 4: Simplify right side
    512,934.62x = 211,106,470,130.69
  5. Step 5: Solve for x
    x = 211,106,470,130.69/512,934.62
  6. Step 6: Final answer
    x = 411,566.04

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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.