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Finding the Fourth Proportional to 275,464.80, 413,197.20 and 97,977.60

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Solution

The fourth proportional to 275,464.80, 413,197.20 and 97,977.60 is: 146,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,464.80 : 413,197.20 = 97,977.60 : x
  2. Step 2: Convert to fraction form
    275,464.80/413,197.20 = 97,977.60/x
  3. Step 3: Cross multiply
    275,464.80x = 413,197.20 × 97,977.60
  4. Step 4: Simplify right side
    275,464.80x = 40,484,069,982.72
  5. Step 5: Solve for x
    x = 40,484,069,982.72/275,464.80
  6. Step 6: Final answer
    x = 146,966.40

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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.