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Finding the Fourth Proportional to 492,275.70, 738,375.15 and 192,698.10

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Solution

The fourth proportional to 492,275.70, 738,375.15 and 192,698.10 is: 289,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,275.70 : 738,375.15 = 192,698.10 : x
  2. Step 2: Convert to fraction form
    492,275.70/738,375.15 = 192,698.10/x
  3. Step 3: Cross multiply
    492,275.70x = 738,375.15 × 192,698.10
  4. Step 4: Simplify right side
    492,275.70x = 142,283,488,492.22
  5. Step 5: Solve for x
    x = 142,283,488,492.22/492,275.70
  6. Step 6: Final answer
    x = 289,032.12

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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.