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Finding the Fourth Proportional to 508,907.20, 764,114.10 and 284,715.40

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Solution

The fourth proportional to 508,907.20, 764,114.10 and 284,715.40 is: 427,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,907.20 : 764,114.10 = 284,715.40 : x
  2. Step 2: Convert to fraction form
    508,907.20/764,114.10 = 284,715.40/x
  3. Step 3: Cross multiply
    508,907.20x = 764,114.10 × 284,715.40
  4. Step 4: Simplify right side
    508,907.20x = 217,555,051,627.14
  5. Step 5: Solve for x
    x = 217,555,051,627.14/508,907.20
  6. Step 6: Final answer
    x = 427,494.54

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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.