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Finding the Fourth Proportional to 461,442.40, 690,627.60 and 334,722.40

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Solution

The fourth proportional to 461,442.40, 690,627.60 and 334,722.40 is: 500,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,442.40 : 690,627.60 = 334,722.40 : x
  2. Step 2: Convert to fraction form
    461,442.40/690,627.60 = 334,722.40/x
  3. Step 3: Cross multiply
    461,442.40x = 690,627.60 × 334,722.40
  4. Step 4: Simplify right side
    461,442.40x = 231,168,527,778.24
  5. Step 5: Solve for x
    x = 231,168,527,778.24/461,442.40
  6. Step 6: Final answer
    x = 500,969.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.