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Finding the Fourth Proportional to 419,201.98, 578,489.54 and 244,802.14

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Solution

The fourth proportional to 419,201.98, 578,489.54 and 244,802.14 is: 337,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,201.98 : 578,489.54 = 244,802.14 : x
  2. Step 2: Convert to fraction form
    419,201.98/578,489.54 = 244,802.14/x
  3. Step 3: Cross multiply
    419,201.98x = 578,489.54 × 244,802.14
  4. Step 4: Simplify right side
    419,201.98x = 141,615,477,359.62
  5. Step 5: Solve for x
    x = 141,615,477,359.62/419,201.98
  6. Step 6: Final answer
    x = 337,821.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.