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Finding the Fourth Proportional to 537,025, 741,094.50 and 298,561

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Solution

The fourth proportional to 537,025, 741,094.50 and 298,561 is: 412,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,025 : 741,094.50 = 298,561 : x
  2. Step 2: Convert to fraction form
    537,025/741,094.50 = 298,561/x
  3. Step 3: Cross multiply
    537,025x = 741,094.50 × 298,561
  4. Step 4: Simplify right side
    537,025x = 221,261,915,014.50
  5. Step 5: Solve for x
    x = 221,261,915,014.50/537,025
  6. Step 6: Final answer
    x = 412,014.18

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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.