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Finding the Fourth Proportional to 275,343.90, 413,015.88 and 97,857.92

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Solution

The fourth proportional to 275,343.90, 413,015.88 and 97,857.92 is: 146,786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,343.90 : 413,015.88 = 97,857.92 : x
  2. Step 2: Convert to fraction form
    275,343.90/413,015.88 = 97,857.92/x
  3. Step 3: Cross multiply
    275,343.90x = 413,015.88 × 97,857.92
  4. Step 4: Simplify right side
    275,343.90x = 40,416,872,878.69
  5. Step 5: Solve for x
    x = 40,416,872,878.69/275,343.90
  6. Step 6: Final answer
    x = 146,786.88

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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.