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Finding the Fourth Proportional to 537,026, 741,095.88 and 298,562

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Solution

The fourth proportional to 537,026, 741,095.88 and 298,562 is: 412,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,026 : 741,095.88 = 298,562 : x
  2. Step 2: Convert to fraction form
    537,026/741,095.88 = 298,562/x
  3. Step 3: Cross multiply
    537,026x = 741,095.88 × 298,562
  4. Step 4: Simplify right side
    537,026x = 221,263,068,124.56
  5. Step 5: Solve for x
    x = 221,263,068,124.56/537,026
  6. Step 6: Final answer
    x = 412,015.56

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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.