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Finding the Fourth Proportional to 537,357, 741,556.98 and 298,893

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Solution

The fourth proportional to 537,357, 741,556.98 and 298,893 is: 412,474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,357 : 741,556.98 = 298,893 : x
  2. Step 2: Convert to fraction form
    537,357/741,556.98 = 298,893/x
  3. Step 3: Cross multiply
    537,357x = 741,556.98 × 298,893
  4. Step 4: Simplify right side
    537,357x = 221,646,190,423.14
  5. Step 5: Solve for x
    x = 221,646,190,423.14/537,357
  6. Step 6: Final answer
    x = 412,474.74

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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.