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Finding the Fourth Proportional to 275,415.60, 413,123.40 and 180,937.20

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Solution

The fourth proportional to 275,415.60, 413,123.40 and 180,937.20 is: 271,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,415.60 : 413,123.40 = 180,937.20 : x
  2. Step 2: Convert to fraction form
    275,415.60/413,123.40 = 180,937.20/x
  3. Step 3: Cross multiply
    275,415.60x = 413,123.40 × 180,937.20
  4. Step 4: Simplify right side
    275,415.60x = 74,749,391,250.48
  5. Step 5: Solve for x
    x = 74,749,391,250.48/275,415.60
  6. Step 6: Final answer
    x = 271,405.80

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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.