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Finding the Fourth Proportional to 492,096.40, 737,683.80 and 385,421.20

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Solution

The fourth proportional to 492,096.40, 737,683.80 and 385,421.20 is: 577,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,096.40 : 737,683.80 = 385,421.20 : x
  2. Step 2: Convert to fraction form
    492,096.40/737,683.80 = 385,421.20/x
  3. Step 3: Cross multiply
    492,096.40x = 737,683.80 × 385,421.20
  4. Step 4: Simplify right side
    492,096.40x = 284,318,975,416.56
  5. Step 5: Solve for x
    x = 284,318,975,416.56/492,096.40
  6. Step 6: Final answer
    x = 577,770.89

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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.