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Finding the Fourth Proportional to 492,602.98, 738,674.82 and 255,882.10

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Solution

The fourth proportional to 492,602.98, 738,674.82 and 255,882.10 is: 383,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,602.98 : 738,674.82 = 255,882.10 : x
  2. Step 2: Convert to fraction form
    492,602.98/738,674.82 = 255,882.10/x
  3. Step 3: Cross multiply
    492,602.98x = 738,674.82 × 255,882.10
  4. Step 4: Simplify right side
    492,602.98x = 189,013,664,158.72
  5. Step 5: Solve for x
    x = 189,013,664,158.72/492,602.98
  6. Step 6: Final answer
    x = 383,703.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.