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Finding the Fourth Proportional to 492,098.30, 736,397.85 and 341,632.70

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Solution

The fourth proportional to 492,098.30, 736,397.85 and 341,632.70 is: 511,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,098.30 : 736,397.85 = 341,632.70 : x
  2. Step 2: Convert to fraction form
    492,098.30/736,397.85 = 341,632.70/x
  3. Step 3: Cross multiply
    492,098.30x = 736,397.85 × 341,632.70
  4. Step 4: Simplify right side
    492,098.30x = 251,577,585,769.70
  5. Step 5: Solve for x
    x = 251,577,585,769.70/492,098.30
  6. Step 6: Final answer
    x = 511,234.41

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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.