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Finding the Fourth Proportional to 365,078.40, 546,542.40 and 271,996.80

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Solution

The fourth proportional to 365,078.40, 546,542.40 and 271,996.80 is: 407,194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,078.40 : 546,542.40 = 271,996.80 : x
  2. Step 2: Convert to fraction form
    365,078.40/546,542.40 = 271,996.80/x
  3. Step 3: Cross multiply
    365,078.40x = 546,542.40 × 271,996.80
  4. Step 4: Simplify right side
    365,078.40x = 148,657,783,864.32
  5. Step 5: Solve for x
    x = 148,657,783,864.32/365,078.40
  6. Step 6: Final answer
    x = 407,194.14

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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.