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Finding the Fourth Proportional to 307,962.20, 462,005.70 and 174,906.20

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Solution

The fourth proportional to 307,962.20, 462,005.70 and 174,906.20 is: 262,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,962.20 : 462,005.70 = 174,906.20 : x
  2. Step 2: Convert to fraction form
    307,962.20/462,005.70 = 174,906.20/x
  3. Step 3: Cross multiply
    307,962.20x = 462,005.70 × 174,906.20
  4. Step 4: Simplify right side
    307,962.20x = 80,807,661,365.34
  5. Step 5: Solve for x
    x = 80,807,661,365.34/307,962.20
  6. Step 6: Final answer
    x = 262,394.74

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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.