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Finding the Fourth Proportional to 307,850.40, 461,775.60 and 284,810.40

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Solution

The fourth proportional to 307,850.40, 461,775.60 and 284,810.40 is: 427,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,850.40 : 461,775.60 = 284,810.40 : x
  2. Step 2: Convert to fraction form
    307,850.40/461,775.60 = 284,810.40/x
  3. Step 3: Cross multiply
    307,850.40x = 461,775.60 × 284,810.40
  4. Step 4: Simplify right side
    307,850.40x = 131,518,493,346.24
  5. Step 5: Solve for x
    x = 131,518,493,346.24/307,850.40
  6. Step 6: Final answer
    x = 427,215.60

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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.