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Finding the Fourth Proportional to 340,064.40, 510,096.60 and 287,576.40

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Solution

The fourth proportional to 340,064.40, 510,096.60 and 287,576.40 is: 431,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,064.40 : 510,096.60 = 287,576.40 : x
  2. Step 2: Convert to fraction form
    340,064.40/510,096.60 = 287,576.40/x
  3. Step 3: Cross multiply
    340,064.40x = 510,096.60 × 287,576.40
  4. Step 4: Simplify right side
    340,064.40x = 146,691,743,880.24
  5. Step 5: Solve for x
    x = 146,691,743,880.24/340,064.40
  6. Step 6: Final answer
    x = 431,364.60

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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.