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Finding the Fourth Proportional to 275,480.06, 413,219.48 and 97,994.07

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Solution

The fourth proportional to 275,480.06, 413,219.48 and 97,994.07 is: 146,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,480.06 : 413,219.48 = 97,994.07 : x
  2. Step 2: Convert to fraction form
    275,480.06/413,219.48 = 97,994.07/x
  3. Step 3: Cross multiply
    275,480.06x = 413,219.48 × 97,994.07
  4. Step 4: Simplify right side
    275,480.06x = 40,493,058,158.51
  5. Step 5: Solve for x
    x = 40,493,058,158.51/275,480.06
  6. Step 6: Final answer
    x = 146,990.89

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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.