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Finding the Fourth Proportional to 492,195.40, 738,293.10 and 421,336.60

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Solution

The fourth proportional to 492,195.40, 738,293.10 and 421,336.60 is: 632,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,195.40 : 738,293.10 = 421,336.60 : x
  2. Step 2: Convert to fraction form
    492,195.40/738,293.10 = 421,336.60/x
  3. Step 3: Cross multiply
    492,195.40x = 738,293.10 × 421,336.60
  4. Step 4: Simplify right side
    492,195.40x = 311,069,904,557.46
  5. Step 5: Solve for x
    x = 311,069,904,557.46/492,195.40
  6. Step 6: Final answer
    x = 632,004.90

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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.