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Finding the Fourth Proportional to 510,096.10, 764,488.05 and 310,204.30

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Solution

The fourth proportional to 510,096.10, 764,488.05 and 310,204.30 is: 464,907.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,096.10 : 764,488.05 = 310,204.30 : x
  2. Step 2: Convert to fraction form
    510,096.10/764,488.05 = 310,204.30/x
  3. Step 3: Cross multiply
    510,096.10x = 764,488.05 × 310,204.30
  4. Step 4: Simplify right side
    510,096.10x = 237,147,480,408.62
  5. Step 5: Solve for x
    x = 237,147,480,408.62/510,096.10
  6. Step 6: Final answer
    x = 464,907.46

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1.5x scale

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.