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Finding the Fourth Proportional to 537,024, 741,093.12 and 298,560

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Solution

The fourth proportional to 537,024, 741,093.12 and 298,560 is: 412,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,024 : 741,093.12 = 298,560 : x
  2. Step 2: Convert to fraction form
    537,024/741,093.12 = 298,560/x
  3. Step 3: Cross multiply
    537,024x = 741,093.12 × 298,560
  4. Step 4: Simplify right side
    537,024x = 221,260,761,907.20
  5. Step 5: Solve for x
    x = 221,260,761,907.20/537,024
  6. Step 6: Final answer
    x = 412,012.80

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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.