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Finding the Fourth Proportional to 537,358, 741,558.36 and 298,894

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Solution

The fourth proportional to 537,358, 741,558.36 and 298,894 is: 412,476.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,358 : 741,558.36 = 298,894 : x
  2. Step 2: Convert to fraction form
    537,358/741,558.36 = 298,894/x
  3. Step 3: Cross multiply
    537,358x = 741,558.36 × 298,894
  4. Step 4: Simplify right side
    537,358x = 221,647,344,453.84
  5. Step 5: Solve for x
    x = 221,647,344,453.84/537,358
  6. Step 6: Final answer
    x = 412,476.12

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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.