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Finding the Fourth Proportional to 299,346.03, 413,087.24 and 178,424.98

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Solution

The fourth proportional to 299,346.03, 413,087.24 and 178,424.98 is: 246,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,346.03 : 413,087.24 = 178,424.98 : x
  2. Step 2: Convert to fraction form
    299,346.03/413,087.24 = 178,424.98/x
  3. Step 3: Cross multiply
    299,346.03x = 413,087.24 × 178,424.98
  4. Step 4: Simplify right side
    299,346.03x = 73,705,081,948.60
  5. Step 5: Solve for x
    x = 73,705,081,948.60/299,346.03
  6. Step 6: Final answer
    x = 246,220.34

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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.