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Finding the Fourth Proportional to 492,684.60, 738,152.10 and 461,191.80

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Solution

The fourth proportional to 492,684.60, 738,152.10 and 461,191.80 is: 690,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,684.60 : 738,152.10 = 461,191.80 : x
  2. Step 2: Convert to fraction form
    492,684.60/738,152.10 = 461,191.80/x
  3. Step 3: Cross multiply
    492,684.60x = 738,152.10 × 461,191.80
  4. Step 4: Simplify right side
    492,684.60x = 340,429,695,672.78
  5. Step 5: Solve for x
    x = 340,429,695,672.78/492,684.60
  6. Step 6: Final answer
    x = 690,968.82

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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.